The minimal CPAP-k
k Primes n's Digits When Discoverer(s)
3 3 + 2 • n 0..2 1    
4 251 + 6 • n 0..3 3    
5 9843019 + 30 • n 0..4 7    
6 121174811 + 30 • n 0..5 9 1967 Leon J. Lander & Thomes R. Parkin


The smallest known CPAP-7
Rank Primes n's Digits When Discoverer(s)
1 71137654873189893604531 + 210 • n 0..6 23 11 Nov 2018 Paul Zimmermann
2 382003672700092872707633 + 210 • n 0..6 24 15 Sep 2018 Paul Zimmermann
3 2210835776623037377907953 + 210 • n 0..6 25 24 Aug 2018 Paul Zimmermann
The smallest known CPAP-8
Rank Primes n's Digits When Discoverer(s)
1 2799806429564 • 83# • 113 + x34 + 210 • n 0..7 47 2004 Hans Rosenthal & Jens Kruse Andersen
2 5351738881202 • 83# • 113 + x34 + 210 • n 0..7 48 2004 Hans Rosenthal & Jens Kruse Andersen
3 16003606986539 • 83# • 113 + x34 + 210 • n 0..7 48 2004 Hans Rosenthal & Jens Kruse Andersen
The smallest known CPAP-9
Rank Primes n's Digits When Discoverer(s)
1 3416716311814 • 179# / (149 • 157) + x65 + 210 • n 0..8 79 2004 Hans Rosenthal & Jens Kruse Andersen
2 12606057030290 • 179# / (149 • 157) + x65 + 210 • n 0..8 80 2005 Hans Rosenthal & Jens Kruse Andersen
3 52515434335080 • 179# / (149 • 157) + x65 + 210 • n 0..8 80 2005 Hans Rosenthal & Jens Kruse Andersen
The smallest known CPAP-10
Rank Primes n's Digits When Discoverer(s)
1 507618446770482 • 193# + x77 + 210 • n 0..9 93 2 Mar 1998 Manfred Toplic, CP10
2 1180477472752474 • 193# + x77 + 210 • n 0..9 93 8 Dec 2008 Manfred Toplic, CP10
3 189382061960492204 • 257# + x106 + 210 • n 0..9 121 9 Dec 2021 Serge Batalov

Big constants

x34 = 7237338580293614937416191022926747

x65 = 87103490338886343449123705322656962705040008760706629856986802283

x77 = 54538241683887582668189703590110659057865934764604873840781923513421103495579

x106 = 1153762228327967262749742078637565852209646810567096822339169424875092523431859764709708315833909447378791