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Search: id:A094489
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A094489 Primes p such that 2^j+p^j are primes for j=0,1,4,32. +0
1
59, 5417, 19079, 33827, 136949, 181871, 242519, 284897, 421607, 452537, 552401, 598187, 962681, 1068251, 1081979, 1163231, 1317761, 1760279, 1801361, 1891499, 1895081, 1919459, 2056907, 2131601, 2427461, 2557601, 2579177, 2826737 (list; graph; listen)
OFFSET

1,1

EXAMPLE

For j=0 1+1=2 is prime; also terms should be lesser-twin-primes

because of p^1+2^1=p+2=prime; 3rd and 4th conditions are as

follows: prime=p^4+16 and prime=2^32+p^32.

MATHEMATICA

{ta=Table[0, {100}], u=1}; Do[s0=2; s1=Prime[j]+2; s2=4+Prime[j]^2; s8=2^32+Prime[j]^32; If[PrimeQ[s0]&&PrimeQ[s1]&&PrimeQ[s2]&&PrimeQ[s8], Print[{j, Prime[j]}]; ta[[u]]=Prime[j]; u=u+1], {j, 1, 1000000}]

CROSSREFS

Cf. A082101, A094473-A094488.

Sequence in context: A017722 A119886 A135649 this_sequence A093403 A087535 A058931

Adjacent sequences: A094486 A094487 A094488 this_sequence A094490 A094491 A094492

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Jun 01 2004

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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