A087358 a(n+1) is the smallest prime > a(n) such that a(n+1) - a(n) == 0 (mod n^n).

2, 3, 7, 61, 317, 31567, 218191, 34806997, 101915861, 3201279773, 143201279773, 13838161469101, 85166965055149, 3113918030977679, 36449938507651727, 6166964403839682977, 264421381435773405601, 36662992904434591029389, 430127073657399966783629, 24171162941581163036271377

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..385

Example

a(4)-a(3) = 61-7 = 54 == 0 (mod 3^3).

Maple

A[1]:= 2: A[2]:= 3:
for n from 2 to 25  do
  if n::odd then d:= 2*n^n else d:= n^n fi;
  for v from A[n] + d by d do
    if isprime(v) then A[n+1]:= v; break fi
od od:
seq(A[i], i=1..26); # Robert Israel, Apr 03 2024

Crossrefs

Sequence in context: A396195 A299923 A337189 * A391596 A379644 A255357

Adjacent sequences: A087355 A087356 A087357 * A087359 A087360 A087361

Keyword

nonn

Author

Amarnath Murthy, Sep 08 2003

Extensions

Corrected and extended by David Wasserman, May 12 2005

Name corrected and more terms from Robert Israel, Apr 03 2024

Status

approved