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Record history for k=4

k Primes Type Digits Year Discoverer
4 667674063382677 233608 - 1, +1, +5, +7 Tuplet 10132 2019 Peter Kaiser, PolySieve, LLR, Primo
4 4122429552750669 216567  - 1, +1, +5, +7 Tuplet 5003 2016 Peter Kaiser, NewPGen, PolySieve, LLR, Primo
4 2673092556681 153048  - 4, -2, +2, +4 Tuplet 3598 2015 Serge Batalov, NewPGen, PrimeForm, Primo
4 2339662057597 103490  + 1,3,7,9 Tuplet 3503 2013 Serge Batalov, NewPGen, PrimeForm, Primo
4 305136484659 211399 - 1, +1, +5, +7 Tuplet 3443 2013 Serge Batalov, NewPGen, PrimeForm, Primo
4 722047383902589 211111 - 1, +1, +5, +7 Tuplet 3360 2013 Reto Keiser, NewPGen, PrimeForm, LLR, Primo
4 43697976428649 29999 - 1, +1, +5, +7 Tuplet 3024 2012 Peter Kaiser, NewPGen, PrimeForm, Primo
4 1249097877 6599# 2n - 1, n=0..3 CC, 1st kind 2835 2011 Michael Angel, NewPGen, PrimeForm
4 119184698 5501# 2n - 1, n=0..3 CC, 1st kind 2354 2005 Jiong Sun, NewPGen, PrimeForm
4 4104082046 4799# + 5651 + 0,2,6,8 Tuplet 2058 2005 Norman Luhn, Primo
4 1453501013 4127# 2n + 1, n=0..3 CC, 2nd kind 1770 2005 Jiong Sun, NewPGen, PrimeForm
4 18672891658 4099# + 1591788529 + 210n, n=2..5 CPAP 1763 2003 Jim Fougeron, Primo
4 853877841 3571# 2n 1, n=0,1 BiTwin 1529 2002 Henri Lifchitz
4 1707223185 3049# 2n - 1, n=0..3 CC, 2nd kind 1308 2002 Michael Angel, Dirk Augustin, NewPGen, PrimeForm
4 356701232 3041# 2n + 1, n=0..3 CC, 1st kind 1304 2002 Michael Angel, Dirk Augustin, NewPGen, PrimeForm
4 10271674954 2999# + 3461 + 0,2,6,8 Tuplet 1284 2002 Michael Bell, Michael Davison, Matt Jack, Ronald Lau, Graeme Leese, Ben Lowing