A333368 Primes of the form k*m^(k*m) - 1 with m > 1.

3, 31, 191, 5119, 131071, 524287, 3758096383, 4353564671, 1356446145697, 1618481116086271, 2058911320946489, 1046695266054721074427023041, 847823165504324070285888664019, 5359447279004780799548150067050349330431, 2817103802133904744169307240538184064530443801964688726052818649087

Offset

1,1

Links

Table of n, a(n) for n=1..15.

Sean A. Irvine, Java program (github)

Example

31 appears in this sequence because 31=2*2^(2*2)-1 and 31 is prime.

Prog

(PARI) lista(nn) = {my(k, n=2, v=List([]), x=4, y); while(x<nn, k=1; y=x-1; while(y<nn, if(ispseudoprime(y), listput(v, y)); k++; y=k*x^k-1); n++; x=n^n); Set(v); } \\ Jinyuan Wang, Mar 18 2020

Crossrefs

Cf. A000040, A050918.

Sequence in context: A197892 A198009 A060416 * A060425 A203242 A121099

Adjacent sequences: A333365 A333366 A333367 * A333369 A333370 A333371

Keyword

nonn,easy

Author

Eder Vanzei, Mar 17 2020

Extensions

Corrected by Michel Marcus and Jinyuan Wang, Mar 17 2020

Status

approved