Prime Quintuplets
Last updated: 24 September 2023
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566761969187 • 4733# / 2 - 8 + d, d = 0, 4, 6, 10, 12 (2034 digits, December 2020, Serge Batalov, NewPgen, OpenPFGW, Primo)
First known with more than 2000 digits
126831252923413 • 4657# / 273 + d, d = 1, 3, 7, 9, 13 (2002 digits, 8 Nov 2020, Peter Kaiser, Primo)
394254311495 • 3733# / 2 + d, d = -8, -4, -2, 2, 4 (1606 digits, Nov 2017, Serge Batalov, NewPgen, OpenPFGW, Primo)
2316765173284 • 3593# + 16061 + d, d = 0, 2, 6, 8, 12 (1543 digits, 16 Oct 2016, Norman Luhn, Primo)
163252711105 • 3371# / 2 + d, d = -8, -4, -2, 2, 4 (1443 digits, Jan 2014, Serge Batalov, OpenPFGW, NewPgen, Primo)
9039840848561 • 3299# / 35 + d, d = -5, -1, 1, 5, 7 (1401 digits, Dec 2013, Serge Batalov, OpenPFGW, NewPgen, Primo)
699549860111847 • 24244 + d, d = -1, 1, 5, 7, 11 (1293 digits, Dec 2013, Reto Keiser, R. Gerbicz, OpenPFGW, Primo)
Smallest with 1200 digits to given pattern
101199 + 20483870459152351 + d, d = 0, 2, 6, 8, 12 (1200 digits, 03 Mar 2023, Norman Luhn, OpenPFGW, Primo)
101199 + 7033048489975137 + d, d = 0, 4, 6, 10, 12 (1200 digits, 17 Mar 2023, Norman Luhn, OpenPFGW, Primo)
405095429109490796 • 2683# + 16057 + d, d = 0, 4, 6, 10, 12 (1150 digits, 4 Jul 2020, Michael Bell, RIEMINER, ECPP-DJ)
566650659276 • 2621# + 1615841 + d, d = 0, 2, 6, 8, 12 (1117 digits, Dec 2013, David Broadhurst, Primo, OpenPFGW)
554729409262 • 2621# + 1615841 + d, d = 0, 2, 6, 8, 12 (1117 digits, Dec 2013, David Broadhurst, Primo, OpenPFGW)
403435604422 • 2621# + 1615841 + d, d = 0, 2, 6, 8, 12 (1117 digits, Dec 2013, David Broadhurst, Primo, OpenPFGW)
153515361824 • 2621# + 1615841 + d, d = 0, 2, 6, 8, 12 (1116 digits, Dec 2013, David Broadhurst, Primo, OpenPFGW)
23700 + 33888977692820810260792517455 + d, d = 0, 2, 6, 8, 12 (1114 digits, 21 Nov 2021, (found on 8 Nov 2021), Vidar Nakling, Primo, Sixfinder)
23700 + 33888977692820810260792517451 + d, d = 0, 4, 6, 10, 12 (1114 digits, 21 Nov 2021, (found on 8 Nov 2021), Vidar Nakling, Primo, Sixfinder)
424232794973 • 2593# + 43777 + d, d = 0, 4, 6, 10, 12 (1107 digits, Mar 2009, Norman Luhn, Primo)
Smallest with 1100 digits to given pattern
101099 + 26317044823878361 + d, d = 0, 2, 6, 8, 12 (1100 digits, 27 Jun 2022, Norman Luhn, OpenPFGW, Primo)
101099 + 15720821612555937 + d, d = 0, 4, 6, 10, 12 (1100 digits, 25 Jul 2022, Norman Luhn, OpenPFGW, Primo)
283534892623 • 2477# + 1091261 + d, d = 0, 2, 6, 8, 12 (1069 digits, Apr 2006, Norman Luhn)
99712228375362 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Oct 2015, Norman Luhn, Primo)
98994147015986 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Nov 2015, Norman Luhn, Primo)
98212992308964 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Feb 2016, Norman Luhn, Primo)
96972480423104 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Nov 2012, Norman Luhn, Primo)
96776476899954 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Nov 2015, Norman Luhn, Primo)
95762146655733 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Oct 2015, Norman Luhn, Primo)
93183558599815 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Nov 2014, Norman Luhn, Primo)
92429229275120 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Oct 2014, Norman Luhn, Primo)
91257770396975 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Jul 2012, Norman Luhn, Primo)
90984673416033 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Feb 2016, Norman Luhn, Primo)
89644699859595 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Mar 2013, Norman Luhn, Primo)
89215030861967 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Dec 2014, Norman Luhn, Primo)
88148511005435 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Oct 2012, Norman Luhn, Primo)
86976539542118 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Jul 2014, Norman Luhn, Primo)
86902605609757 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Apr 2013, Norman Luhn, Primo)
86165944188267 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, May 2012, Norman Luhn, Primo)
84825253438365 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Jul 2012, Norman Luhn, Primo)
83889247115853 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Oct 2015, Norman Luhn, Primo)
83590141448298 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Feb 2016, Norman Luhn, Primo)
82846663752025 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Jan 2015, Norman Luhn, Primo)
82629087772228 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Sep 2015, Norman Luhn, Primo)
82032707301873 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Jan 2015, Norman Luhn, Primo)
81599379766907 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Aug 2012, Norman Luhn, Primo)
81115108037837 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Dec 2014, Norman Luhn, Primo)
80513477121087 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Apr 2013, Norman Luhn, Primo)
80239746231028 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Feb 2015, Norman Luhn, Primo)
80084026634911 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Feb 2013, Norman Luhn, Primo)
79720249657975 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Mar 2012, Norman Luhn, Primo)
79273747304997 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Jan 2012, Norman Luhn, Primo)
79247645599582 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Aug 2012, Norman Luhn, Primo)
78942845360998 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Sep 2012, Norman Luhn, Primo)
78359361025603 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Sep 2015, Norman Luhn, Primo)
78134416523959 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Mar 2015, Norman Luhn, Primo)
77512273701720 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Dec 2015, Norman Luhn, Primo)
76695289154321 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Apr 2015, Norman Luhn, Primo)
76428858628313 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Feb 2015, Norman Luhn, Primo)
75653713334547 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Feb 2015, Norman Luhn, Primo)
75390605798206 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, May 2015, Norman Luhn, Primo)
75009997963424 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, May 2015, Norman Luhn, Primo)
74530056142086 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Nov 2014, Norman Luhn, Primo)
74509359588265 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Jun 2014, Norman Luhn, Primo)
74185618308478 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Nov 2014, Norman Luhn, Primo)
73963470857714 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Feb 2016, Norman Luhn, Primo)
73328537379987 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Mar 2015, Norman Luhn, Primo)
73143110016140 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Aug 2015, Norman Luhn, Primo)
72557285878152 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Sep 2014, Norman Luhn, Primo)
72048564519232 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Jul 2015, Norman Luhn, Primo)
71849315894033 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Feb 2012, Norman Luhn, Primo)
71819150849769 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Aug 2012, Norman Luhn, Primo)
71643329643741 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Jun 2012, Norman Luhn, Primo)
70537832200509 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Sep 2014, Norman Luhn, Primo)
70257038211112 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Dec 2013, Norman Luhn, Primo)
68500947061200 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Jan 2016, Norman Luhn, Primo)
66657128975003 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Oct 2015, Norman Luhn, Primo)
64512471970999 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Jan 2016, Norman Luhn, Primo)
63369340515604 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Dec 2014, Norman Luhn, Primo)
62279471392035 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Aug 2012, Norman Luhn, Primo)
61765182603669 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Feb 2013, Norman Luhn, Primo)
59819449414569 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, May 2015, Norman Luhn, Primo)
58231910509283 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Dec 2013, Norman Luhn, Primo)
56442572950794 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Dec 2015, Norman Luhn, Primo)
55785512602737 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Nov 2015, Norman Luhn, Primo)
52774576188817 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Dec 2015, Norman Luhn, Primo)
52182873696175 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Oct 2013, Norman Luhn, Primo)
52089263016510 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Apr 2013, Norman Luhn, Primo)
51070249753462 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Mar 2014, Norman Luhn, Primo)
51020068877713 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Nov 2014, Norman Luhn, Primo)
50515674762912 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Sep 2012, Norman Luhn, Primo)
50345476381255 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, 2011, Norman Luhn, Primo)
50210165721175 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, 2011, Norman Luhn, Primo)
50205257117416 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, 2011, Norman Luhn, Primo)
49628405596069 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Jul 2012, Norman Luhn, Primo)
48058549807961 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Feb 2014, Norman Luhn, Primo)
47551968316015 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Jan 2014, Norman Luhn, Primo)
47092069684313 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Sep 2014, Norman Luhn, Primo)
46390944875130 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Nov 2012, Norman Luhn, Primo)
46343458141827 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Nov 2012, Norman Luhn, Primo)
45385928981256 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Nov 2011, Norman Luhn, Primo)
44606895070656 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Nov 2014, Norman Luhn, Primo)
43658856925136 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Oct 2015, Norman Luhn, Primo)
42541349761141 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Dec 2015, Norman Luhn, Primo)
42040934225795 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Dec 2015, Norman Luhn, Primo)
41703996620252 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Jan 2015, Norman Luhn, Primo)
40158546681408 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Jun 2015, Norman Luhn, Primo)
39233897782432 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Mar 2013, Norman Luhn, Primo)
38620105732880 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Jan 2015, Norman Luhn, Primo)
37859334381827 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Jul 2015, Norman Luhn, Primo)
37470217378787 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Jul 2015, Norman Luhn, Primo)
37124364305523 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Sep 2012, Norman Luhn, Primo)
37114994423917 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Sep 2012, Norman Luhn, Primo)
36248764327472 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Mar 2013, Norman Luhn, Primo)
35791411634728 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Oct 2014, Norman Luhn, Primo)
33983731443034 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Sep 2015, Norman Luhn, Primo)
33465080315945 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Sep 2015, Norman Luhn, Primo)
32487525259794 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Nov 2014, Norman Luhn, Primo)
32476445784881 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Mar 2015, Norman Luhn, Primo)
31692817815432 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, 2011, Norman Luhn, Primo)
31327764319376 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Mar 2015, Norman Luhn, Primo)
31056733722072 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1038 digits, Jul 2015, Norman Luhn, Primo)
30632421763983 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1038 digits, Nov 2014, Norman Luhn, Primo)
29987405054474 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Mar 2015, Norman Luhn, Primo)
29320802968821 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, Apr 2015, Norman Luhn, Primo)
29112135732260 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, Mar 2013, Norman Luhn, Primo)
28883080854831 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, May 2015, Norman Luhn, Primo)
28103851711182 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, Jan 2015, Norman Luhn, Primo)
27866948101855 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, Oct 2015, Norman Luhn, Primo)
27733053212566 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, Mar 2015, Norman Luhn, Primo)
27229554319872 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, 2011, Norman Luhn, Primo)
26605384134985 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, May 2015, Norman Luhn, Primo)
26416650514612 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Jan 2016, Norman Luhn, Primo)
26293821087079 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, 2011, Norman Luhn, Primo)
26252789976204 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, 2011, Norman Luhn, Primo)
25902480270269 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Feb 2015, Norman Luhn, Primo)
25790090960622 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, Jun 2014, Norman Luhn, Primo)
25566023449687 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, May 2015, Norman Luhn, Primo)
25333100361788 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, Aug 2013, Norman Luhn, Primo)
25019801933659 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, Jul 2014, Norman Luhn, Primo)
24930352858805 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, 2011, Norman Luhn, Primo)
23815053307005 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Apr 2013, Norman Luhn, Primo)
23736409467432 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Mar 2014, Norman Luhn, Primo)
22864633691341 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, Oct 2012, Norman Luhn, Primo)
22429800305271 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Jul 2012, Norman Luhn, Primo)
22143119788575 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Oct 2012, Norman Luhn, Primo)
22131085741406 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Oct 2012, Norman Luhn, Primo)
22078008805541 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Sep 2014, Norman Luhn, Primo)
21917202736992 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Oct 2011, Norman Luhn, Primo)
21710146716814 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, May 2012, Norman Luhn, Primo)
21618999972620 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Oct 2011, Norman Luhn, Primo)
21535746957685 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Jul 2012, Norman Luhn, Primo)
21365698469940 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, 2011, Norman Luhn, Primo)
21262679382290 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, 2011, Norman Luhn, Primo)
21054646762934 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Oct 2011, Norman Luhn, Primo)
20968586545225 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, Jul 2014, Norman Luhn, Primo)
20799209833615 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, Apr 2014, Norman Luhn, Primo)
20713875468476 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, May 2013, Norman Luhn, Primo)
20635955337101 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, Aug 2013, Norman Luhn, Primo)
20297727658437 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Jul 2014, Norman Luhn, Primo)
20261915126044 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Jun 2013, Norman Luhn, Primo)
19975767388554 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, Aug 2014, Norman Luhn, Primo)
19344828367146 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Oct 2014, Norman Luhn, Primo)
18578167225966 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, May 2015, Norman Luhn, Primo)
18452081476862 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, Jan 2016, Norman Luhn, Primo)
18031553504412 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Oct 2014, Norman Luhn, Primo)
17724659867200 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, 2011, Norman Luhn, Primo)
17533868394684 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, 2011, Norman Luhn, Primo)
17057625321027 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, 2011, Norman Luhn, Primo)
16037275110215 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Mar 2013, Norman Luhn, Primo)
15833961953596 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, Aug 2013, Norman Luhn, Primo)
13686654803599 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12 (1037 digits, Dec 2015, Norman Luhn, Primo)
11085910727656 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1037 digits, Sep 2013, Norman Luhn, Primo)
46906407091 • 2399# + 19421 + d, d = 0, 2, 6, 8, 12 (1035 digits, Mar 2013, Norman Luhn, Primo)
First known with more than 1000 digits
31969211688 • 2399# + 16061 + d, d = 0, 2, 6, 8, 12 (1034 digits, 30 Jul 2002, Norman Luhn, APSieve, OpenPFGW, Primo)
Smallest with 1000 digits to given pattern
10999 + 3818999670116007 + d, d = 0, 4, 6, 10, 12 (1000 digits, 9 May 2019, Norman Luhn, Primo)
10999 + 3554007760224751 + d, d = 0, 2, 6, 8, 12 (1000 digits, Jun 2014, Norman Luhn, Primo)
Smallest with 3000 bits to given pattern
22999 + 7418461178845439 + d, d = 0, 4, 6, 10, 12 (903 digits, 05 Aug 2023, Norman Luhn, Primo 3.0.9)
22999 + 6424729478696073 + d, d = 0, 2, 6, 8, 12 (903 digits, 24 Aug 2023, Norman Luhn, Primo 3.0.9)
Smallest with 2000 bits to given pattern
21999 + 665602680629223 + d, d = 0, 2, 6, 8, 12 (602 digits, 20 Jul 2023, Norman Luhn, Primo 3.0.9)
21999 + 441836597465189 + d, d = 0, 4, 6, 10, 12 (602 digits, 21 Jul 2023, Norman Luhn, Primo 3.0.9)
987044350012 • 1297# + 43777 + d, d = 0, 4, 6, 10, 12 (559 digits, May 2009, Norman Luhn)
947251893685 • 1297# + 43781 + d, d = 0, 2, 6, 8, 12 (559 digits, May 2009, Norman Luhn)
945579243374 • 1297# + 43781 + d, d = 0, 2, 6, 8, 12 (559 digits, May 2009, Norman Luhn)
943700737391 • 1297# + 43777 + d, d = 0, 4, 6, 10, 12 (559 digits, May 2009, Norman Luhn)
928119120839 • 1297# + 43781 + d, d = 0, 2, 6, 8, 12 (559 digits, May 2009, Norman Luhn)
900682944994 • 1297# + 43781 + d, d = 0, 2, 6, 8, 12 (559 digits, May 2009, Norman Luhn)
871122167862 • 1297# + 43781 + d, d = 0, 2, 6, 8, 12 (559 digits, May 2009, Norman Luhn)
912143859 • 1223# + 463001711 + d, d = 0, 2, 6, 8, 12 (522 digits, 2004, Donovan Johnson)
First known with more than 500 digits
19685846183 • 1193# + 6005891 + d, d = 0, 2, 6, 8, 12 (511 digits, 12 May 2002, Norman Luhn, Primo)
14519751105 • 1049# + 1042090781 + d, d = 0, 2, 6, 8, 12 (450 digits, 2002, Michael Hannigan)
338769039776 • 997# + 16061 + d, d = 0, 2, 6, 8, 12 (427 digits, Jan 2006, Norman Luhn)
319335512503 • 997# + 16061 + d, d = 0, 2, 6, 8, 12 (427 digits, Jan 2006, Norman Luhn)
305727029371 • 997# + 16061 + d, d = 0, 2, 6, 8, 12 (427 digits, Jan 2006, Norman Luhn)
286538245484 • 997# + 16057 + d, d = 0, 4, 6, 10, 12 (427 digits, Jan 2006, Norman Luhn)
282316412894 • 997# + 16057 + d, d = 0, 4, 6, 10, 12 (427 digits, Jan 2006, Norman Luhn)
First known with more than 400 digits
63687452535 • 997# + 1002054791 + d, d = 0, 2, 6, 8, 12 (427 digits, 2001, Norman Luhn)
3242281037 • 887# + 1867 + d, d = 0, 4, 6, 10, 12 (384 digits, 2000, Michael Bell, OpenPFGW, Titanix)
10320 + 1928441138811931 + d, d = 0, 2, 6, 8, 12 (321 digits, 2000, Norman Luhn, OpenPFGW, VFYPR)
First known with more than 300 digits
3188356293605443904 • (2993 - 2331) - 6 • 2331 + d, d = -7, -5, -1, 1, 5 (318 digits, 1999, Tony Forbes)
8420254442 • 709# + 1000172347 + d, d = 0, 4, 6, 10, 12 (306 digits, 2003, Torbjörn Alm & Jens Kruse Andersen, VFYPR)
Smallest with 1000 bits to given pattern
2999 + 6405588072959 + d, d = 0, 4, 6, 10, 12 (301 digits, 30 Jun 2023, Norman Luhn, Primo 3.0.9)
2999 + 4493853079263 + d, d = 0, 2, 6, 8, 12 (301 digits, 30 Jun 2023, Norman Luhn, Primo 3.0.9)
153992076979 • 691# + 6005887 + d, d = 0, 4, 6, 10, 12 (301 digits, 2001, Norman Luhn, Primo)
126232090357 • 691# + 6005887 + d, d = 0, 4, 6, 10, 12 (301 digits, 2001, Norman Luhn, Primo)
85001892645 • 691# + 6005887 + d, d = 0, 4, 6, 10, 12 (300 digits, 2001, Norman Luhn, Primo)
10351620147 • 691# + 6005887 + d, d = 0, 4, 6, 10, 12 (300 digits, 2001, Norman Luhn, Primo)
10256 + 2533463851471 + d, d = 0, 2, 6, 8, 12 (257 digits, 2000, Norman Luhn)
85916873579 • 569# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn)
84291055377 • 569# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn)
84271433877 • 569# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn)
56237183505 • 569# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn)
52678385407 • 569# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn)
51402153281 • 569# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn)
48397838885 • 569# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn)
47293971709 • 569# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn)
44153204655 • 569# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn)
43048346163 • 569# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn)
37895666383 • 569# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn)
36040371675 • 569# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn)
23247713083 • 569# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn)
22538139017 • 569# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn)
20199942411 • 569# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (241 digits, 2001, Norman Luhn)
97844425 • 563#+1000000587445747 + d, d = 0, 4, 6, 10, 12 (236 digits, 2001, Norman Luhn)
730449617 • 557#+1000000587445747 + d, d = 0, 4, 6, 10, 12 (235 digits, 2001, Norman Luhn)
8947613442 • 53# • 2672 + 101 + d, d = 0, 2, 6, 8, 12 (232 digits, 1997, A.O.L. Atkin)
First known with more than 200 digits
2768 + 108676793455855 + d, d = 0, 2, 6, 8, 12 (232 digits, 1997, Tony Forbes)
8219503 • 547# + 1000000587445747 + d, d = 0, 4, 6, 10, 12 (230 digits, 2001, Norman Luhn)
890803 • 547#+42642569857 + d, d = 0, 4, 6, 10, 12 (229 digits, 2000, Norman Luhn)
87588293129 • 43# • 2511 + 16057 + d, d = 0, 4, 6, 10, 12 (181 digits, 1997, A.O.L. Atkin)
36181550775 • 43# • 2512 + 16057 + d, d = 4, 6, 10, 12, 16 (181 digits, 1997, A.O.L. Atkin)
16857474975 • 43# • 2512 + 97 + d, d = 0, 4, 6, 10, 12 (181 digits, 1997, A.O.L. Atkin)
31579271047 • 43# • 2511 + 16057 + d, d = 0, 4, 6, 10, 12 (181 digits, 1997, A.O.L. Atkin)
11970383561 • 43# • 2512 + 97 + d, d = 0, 4, 6, 10, 12 (181 digits, 1997, A.O.L. Atkin)
1702757 • 89# • 2448 + 19421 + d, d = 0, 2, 6, 8, 12 (176 digits, 1996, A.O.L. Atkin)
42339482 • 61# • 2480 + 101 + d, d = 0, 2, 6, 8, 12 (176 digits, 1996, A.O.L. Atkin)
2576 + 103306069845291 + d, d = 0, 4, 6, 10, 12 (174 digits, 1999, Tony Forbes)
2576 + 79801763715655 + d, d = 0, 2, 6, 8, 12 (174 digits, 1995, Tony Forbes, M500 147)
2576 + 70901612598805 + d, d = 0, 2, 6, 8, 12 (174 digits, 1995, Tony Forbes, M500 147)
2576 + 66885216564171 + d, d = 0, 4, 6, 10, 12 (174 digits, 1995, Tony Forbes, M500 147)
2576 + 66452190580225 + d, d = 0, 2, 6, 8, 12 (174 digits, 1995, Tony Forbes, M500 147)
2576 + 39471451430035 + d, d = 0, 2, 6, 8, 12 (174 digits, 1995, Tony Forbes, M500 146)
2576 + 34064772966205 + d, d = 0, 2, 6, 8, 12 (174 digits, 1995, Tony Forbes, M500 146)
2576 + 26513791153491 + d, d = 0, 4, 6, 10, 12 (174 digits, 1995, Tony Forbes, M500 146)
2576 + 18524915822901 + d, d = 0, 4, 6, 10, 12 (174 digits, 1995, Tony Forbes, M500 146)
2576 + 10263146898681 + d, d = 0, 4, 6, 10, 12 (174 digits, 1995, Tony Forbes, M500 146)
2576 + 1189380454705 + d, d = 0, 2, 6, 8, 12 (174 digits, 1995, Tony Forbes, M500 145, 146)
7853149627 • 43# • 2480 + 16057 + d, d = 0, 4, 6, 10, 12 (171 digits, 1997, A.O.L. Atkin)
6718411231 • 43# • 2480 + 97 + d, d = 4, 6, 10, 12, 16 (171 digits, 1997, A.O.L. Atkin)
27679966422 • 17# • 2512 + 97 + d, d = 0, 4, 6, 10, 12 (171 digits, 1997, A.O.L. Atkin)
2519867701 • 43# • 2480 + 97 + d, d = 0, 4, 6, 10, 12 (171 digits, 1997, A.O.L. Atkin)
1822392311 • 43# • 2480 + 97 + d, d = 4, 6, 10, 12, 16 (170 digits, 1997, A.O.L. Atkin)
1820450 • 61# • 2416 + 16057 + d, d = 0, 4, 6, 10, 12 (155 digits, 1997, A.O.L. Atkin)
2512 + 4425045023541 + d, d = 0, 4, 6, 10, 12 (155 digits, 1996, Tony Forbes)
2480 + 1935468352221 + d, d = 0, 4, 6, 10, 12 (145 digits, 1995, Tony Forbes, M500 145, 147)
13771605632556070 • (2303 - 2101) - 6 • 2101 + d, d = -7, -5, -1, 1, 5 (108 digits, 1998)
10100 + 60035735607 + d, d = 0, 4, 6, 10, 12 (101 digits, 2001, Norman Luhn)
2256 + 461608947325 + d, d = 0, 2, 6, 8, 12 (78 digits, 1994, Tony Forbes, M500 140)
2256 + 270403961815 + d, d = 0, 2, 6, 8, 12 (78 digits, 1994, Tony Forbes, M500 140)
2256 + 153453212515 + d, d = 0, 2, 6, 8, 12 (78 digits, 1994, Tony Forbes, M500 140)
2256 + 114267906355 + d, d = 0, 2, 6, 8, 12 (78 digits, 1994, Tony Forbes, M500 140)
2256 + 21717738925 + d, d = 0, 2, 6, 8, 12 (78 digits, 1994, Tony Forbes, M500 140)
2256 + 12811534975 + d, d = 0, 2, 6, 8, 12 (78 digits, 1994, Tony Forbes, M500 140)
1060 + 104940006848491 + d, d = 0, 2, 6, 8, 12 (61 digits, 2000, Norman Luhn)