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Search: id:A094488
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| A094488 |
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Primes p such that 2^j+p^j are primes for j=0,1,2,8. |
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+0
3
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| 137, 2087, 2687, 16067, 24107, 29207, 154787, 155537, 223007, 331907, 427877, 662897, 708137, 769997, 802127, 849047, 869597, 891887, 1031117, 1068497, 1261487, 1336337, 1712567, 1794677, 1807997, 1838297, 1990577, 2189987
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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; 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=256+p^8.
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MATHEMATICA
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{ta=Table[0, {100}], u=1}; Do[s0=2; s1=Prime[j]+2; s2=4+Prime[j]^2; s8=256+Prime[j]^8; If[PrimeQ[s0]&&PrimeQ[s1]&&PrimeQ[s2]&&PrimeQ[s8], 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-A094487.
Sequence in context: A142620 A142813 A136080 this_sequence A138348 A103878 A068154
Adjacent sequences: A094485 A094486 A094487 this_sequence A094489 A094490 A094491
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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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