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A094487
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Primes p such that 2^j+p^j are primes for j=0,1,2,4.
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1
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3, 5, 17, 4517, 5477, 5867, 7457, 8537, 13877, 16067, 22697, 27917, 56477, 59357, 90437, 97577, 101747, 118247, 122207, 124247, 135467, 139457, 140417, 153947, 208697, 247067, 267677, 306947, 419927, 470087, 489407, 520547, 529577, 540347
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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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^2+4 and prime=16+p^4.
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MATHEMATICA
| {ta=Table[0, {100}], u=1}; Do[s0=2; s1=Prime[j]+2; s2=4+Prime[j]^2; s4=16+Prime[j]^4; If[PrimeQ[s0]&&PrimeQ[s1]&&PrimeQ[s2]&&PrimeQ[s4], Print[{j, Prime[j]}]; ta[[u]]=Prime[j]; u=u+1], {j, 1, 1000000}]
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CROSSREFS
| Cf. A082101, A094473-A094486.
Sequence in context: A123599 A016045 A128336 * A007516 A039584 A191717
Adjacent sequences: A094484 A094485 A094486 * A094488 A094489 A094490
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Jun 01 2004
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