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Primes of form 2^j + 461^j.
0

%I #15 Aug 01 2025 03:44:02

%S 2,463,45165175457,4161163747708008324368372925882377717624897

%N Primes of form 2^j + 461^j.

%C The number j must be zero or a power of 2. Checked j being powers of two through 2^19. Thus a(5) > 10^2700000. Primes of this magnitude are rare (about 1 in 6.4 million), so chance of finding one is remote with today's computer algorithms and speeds. - _Robert Price_, Apr 29 2013

%e The relevant exponents are powers of 2: 0, 1, 4, 16; a(4) = 65536+461^16 = 4161163747708008324368372925882377717624897.

%Y Cf. A082101, A094473-A094482.

%K nonn

%O 1,1

%A _Labos Elemer_, Jun 01 2004