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Search: id:A094490
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| A094490 |
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Primes p such that 2^j+p^j are primes for j=0,2,4,64. |
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+0 2
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| 37, 1423, 8537, 61333, 397963, 419927, 699217, 1151603, 1156823, 1210793, 1746923, 1809163, 1915477, 2012113, 2713127, 3617683, 4001567, 4192033, 4760117, 4768133, 5099623, 5432153, 5801737, 5909737, 5924833, 6118157
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OFFSET
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1,1
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EXAMPLE
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For j=0 1+1=2 is prime; other conditions are:
because of p^2+4==prime; 3rd and 4th conditions are as
follows: prime=p^4+16 and prime=2^64+p^64.
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MATHEMATICA
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{ta=Table[0, {100}], u=1}; Do[s0=2; s2=4+Prime[j]^2; s4=16+Prime[j]^4; s64=2^64+Prime[j]^64 If[PrimeQ[s0]&&PrimeQ[s2]&&PrimeQ[s4]&&PrimeQ[s64], Print[{j, Prime[j]}]; ta[[u]]=Prime[j]; u=u+1], {j, 1, 1000000}]
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CROSSREFS
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Cf. A082101, A094473-A094488.
Adjacent sequences: A094487 A094488 A094489 this_sequence A094491 A094492 A094493
Sequence in context: A078303 A009981 A097315 this_sequence A009695 A130013 A088872
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jun 01 2004
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