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

1,1

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

Prog

(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<rec, rec=r; print1(p, ", ")))

Crossrefs

Cf. A241014, A113650, A296240, A347565.

Sequence in context: A053182 A348153 A211972 * A076706 A243441 A256426

Adjacent sequences: A339852 A339853 A339854 * A339856 A339857 A339858

Keyword

nonn

Author

Jeppe Stig Nielsen, Dec 19 2020

Status

approved