A339855 Primes p such that the absolute value of the fraction A241014(A000720(p)) / p is a record low.

2, 3, 5, 17, 41, 101, 163, 223, 251, 733, 1063, 27191, 77969, 84299, 86813, 123863, 508771, 1677209, 11634179, 91978037, 443127523, 467335159, 1041968177, 2025051311, 13941800291, 24178397183, 762383958397, 766193665711, 1551559563569, 8030311150847

Offset: 1

Author

Jeppe Stig Nielsen, Dec 19 2020

Keywords

• nonn

Comments

So-called near-Wall-Sun-Sun primes. Each term is "nearer" to being Wall-Sun-Sun than all smaller primes.

If any Wall-Sun-Sun primes exist, this sequence terminates at the smallest Wall-Sun-Sun prime.

If you start from p=7 (not p=2), then the sequence will start 7, 13, 17, 41, ... instead.

Links

• Jeppe Stig Nielsen, Table of n, a(n) for n = 1..49
• Ulrich Fries and PrimeGrid, PRPNet findlist for project WSS
• Reginald McLean and PrimeGrid, WW Statistics
• D. D. Wall, Fibonacci series modulo m, Amer. Math. Monthly, 67 (1960), 525-532.
• Wikipedia, Wall-Sun-Sun prime

Crossrefs

Cf. A241014, A113650, A296240, A347565.

Programs

PARI

rec=+oo;forprime(p=2,,r=abs(centerlift(((Mod([1, 1; 1, 0], p^2))^(p-kronecker(p, 5)-1))[1, 1]))/p^2;if(r