The Largest Known Simultaneous Primes

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Record history for SP17
Primes Type Digits Year Discoverer

3684 • 73# + 880858118723497737821 + 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 Tuplet 33 2021 Roger Thompson

1540797425367761006138858880 • 2ⁿ + 1, n = 0..16 CC, 2nd kind 30 2014 Raanan Chermoni & Jaroslaw Wroblewski

658189097608811942204322720 • 2ⁿ + 1, n = 1..17 CC, 2nd kind 30 2014 Raanan Chermoni & Jaroslaw Wroblewski

465463467291895470464386320 • 2ⁿ + 1, n = 0..16 CC, 2nd kind 30 2014 Raanan Chermoni & Jaroslaw Wroblewski

100845391935878564991556707107 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 Tuplet 30 2013 Roger Thompson

11413975438568556104209245223 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 Tuplet 29 2011 Roger Thompson

1440214698782377829920161551 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 Tuplet 28 2011 Raanan Chermoni & Jaroslaw Wroblewski

1193626642220508556578935357 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 Tuplet 28 2011 Roger Thompson

1189738328255580204892107257 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 Tuplet 28 2011 Roger Thompson

1022964394011851868818264017 + d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 Tuplet 28 2011 Raanan Chermoni & Jaroslaw Wroblewski

947007693039130553371313771 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 Tuplet 27 2011 Raanan Chermoni & Jaroslaw Wroblewski

917810189564189435979968501 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 Tuplet 27 2011 Raanan Chermoni & Jaroslaw Wroblewski

865481269763090471673405217 + d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 Tuplet 27 2011 Raanan Chermoni & Jaroslaw Wroblewski

783356226566404898275621751 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 Tuplet 27 2011 Raanan Chermoni & Jaroslaw Wroblewski

772723255295737480928966771 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 Tuplet 27 2011 Raanan Chermoni & Jaroslaw Wroblewski

766631303403477668452873513 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 Tuplet 27 2011 Roger Thompson

730862462126306661846437737 + d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 Tuplet 27 2011 Raanan Chermoni & Jaroslaw Wroblewski

711896327852024279416294841 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 Tuplet 27 2011 Raanan Chermoni & Jaroslaw Wroblewski

663553629195874803746553191 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 Tuplet 27 2011 Raanan Chermoni & Jaroslaw Wroblewski

646823491570043772214553321 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 Tuplet 27 2011 Raanan Chermoni & Jaroslaw Wroblewski

635239540644425515747001047 + d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 Tuplet 27 2011 Raanan Chermoni & Jaroslaw Wroblewski

597173610793158380251873601 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 Tuplet 27 2011 Raanan Chermoni & Jaroslaw Wroblewski

572264871047109012711451507 + d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 Tuplet 27 2011 Raanan Chermoni & Jaroslaw Wroblewski

528949036434611485053784421 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 Tuplet 27 2011 Raanan Chermoni & Jaroslaw Wroblewski

506768097227010102028237687 + d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 Tuplet 27 2011 Raanan Chermoni & Jaroslaw Wroblewski

446899237331752168867376467 + d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 Tuplet 27 2010 Raanan Chermoni & Jaroslaw Wroblewski

388813564304223666130115591 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 Tuplet 27 2010 Raanan Chermoni & Jaroslaw Wroblewski

356357564387652563232359861 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 Tuplet 27 2010 Raanan Chermoni & Jaroslaw Wroblewski

1302312696655394336638440 • 2ⁿ + 1, n = 0..16 CC, 2nd kind 27 2008 Jaroslaw Wroblewski

127806074555607670094730 • 2ⁿ + 1, n = 0..16 CC, 2nd kind 26 2008 Jaroslaw Wroblewski

40244844789379926979140 • 2ⁿ + 1, n = 0..16 CC, 2nd kind 26 2008 Jaroslaw Wroblewski

2845372542509911868266807 + d, d = 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 Tuplet 25 2000 Jörg Waldvogel & Peter Leikauf

Primes	Type	Digits	Year	Discoverer
Record history for SP17
3684 • 73# + 880858118723497737821 + 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66	Tuplet	33	2021	Roger Thompson
1540797425367761006138858880 • 2ⁿ + 1, n = 0..16	CC, 2nd kind	30	2014	Raanan Chermoni & Jaroslaw Wroblewski
658189097608811942204322720 • 2ⁿ + 1, n = 1..17	CC, 2nd kind	30	2014	Raanan Chermoni & Jaroslaw Wroblewski
465463467291895470464386320 • 2ⁿ + 1, n = 0..16	CC, 2nd kind	30	2014	Raanan Chermoni & Jaroslaw Wroblewski
100845391935878564991556707107 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66	Tuplet	30	2013	Roger Thompson
11413975438568556104209245223 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66	Tuplet	29	2011	Roger Thompson
1440214698782377829920161551 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66	Tuplet	28	2011	Raanan Chermoni & Jaroslaw Wroblewski
1193626642220508556578935357 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66	Tuplet	28	2011	Roger Thompson
1189738328255580204892107257 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66	Tuplet	28	2011	Roger Thompson
1022964394011851868818264017 + d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66	Tuplet	28	2011	Raanan Chermoni & Jaroslaw Wroblewski
947007693039130553371313771 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66	Tuplet	27	2011	Raanan Chermoni & Jaroslaw Wroblewski
917810189564189435979968501 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66	Tuplet	27	2011	Raanan Chermoni & Jaroslaw Wroblewski
865481269763090471673405217 + d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66	Tuplet	27	2011	Raanan Chermoni & Jaroslaw Wroblewski
783356226566404898275621751 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66	Tuplet	27	2011	Raanan Chermoni & Jaroslaw Wroblewski
772723255295737480928966771 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66	Tuplet	27	2011	Raanan Chermoni & Jaroslaw Wroblewski
766631303403477668452873513 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66	Tuplet	27	2011	Roger Thompson
730862462126306661846437737 + d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66	Tuplet	27	2011	Raanan Chermoni & Jaroslaw Wroblewski
711896327852024279416294841 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66	Tuplet	27	2011	Raanan Chermoni & Jaroslaw Wroblewski
663553629195874803746553191 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66	Tuplet	27	2011	Raanan Chermoni & Jaroslaw Wroblewski
646823491570043772214553321 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66	Tuplet	27	2011	Raanan Chermoni & Jaroslaw Wroblewski
635239540644425515747001047 + d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66	Tuplet	27	2011	Raanan Chermoni & Jaroslaw Wroblewski
597173610793158380251873601 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66	Tuplet	27	2011	Raanan Chermoni & Jaroslaw Wroblewski
572264871047109012711451507 + d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66	Tuplet	27	2011	Raanan Chermoni & Jaroslaw Wroblewski
528949036434611485053784421 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66	Tuplet	27	2011	Raanan Chermoni & Jaroslaw Wroblewski
506768097227010102028237687 + d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66	Tuplet	27	2011	Raanan Chermoni & Jaroslaw Wroblewski
446899237331752168867376467 + d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66	Tuplet	27	2010	Raanan Chermoni & Jaroslaw Wroblewski
388813564304223666130115591 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66	Tuplet	27	2010	Raanan Chermoni & Jaroslaw Wroblewski
356357564387652563232359861 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66	Tuplet	27	2010	Raanan Chermoni & Jaroslaw Wroblewski
1302312696655394336638440 • 2ⁿ + 1, n = 0..16	CC, 2nd kind	27	2008	Jaroslaw Wroblewski
127806074555607670094730 • 2ⁿ + 1, n = 0..16	CC, 2nd kind	26	2008	Jaroslaw Wroblewski
40244844789379926979140 • 2ⁿ + 1, n = 0..16	CC, 2nd kind	26	2008	Jaroslaw Wroblewski
2845372542509911868266807 + d, d = 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70	Tuplet	25	2000	Jörg Waldvogel & Peter Leikauf