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Search: id:A094316
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| A094316 |
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Primes p for which 2^j+p^j is also prime for j in {0,2,8,512}. |
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| 13, 4133, 1831343, 2320583, 3828673, 9173893, 23658377, 24037537, 42489677, 56253203, 78222863, 96325093, 99846337, 110453773, 110468653, 117748427, 122173187, 130937467, 138072163, 146981537, 174978913, 184050553, 186927817
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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Smallest such prime is 13 and the relevant four primes are
2, 173, 815730977 and a 571-digit prime.
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MATHEMATICA
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{ta=Table[0, {100}], u=1}; {exponents, {a, b, c, d}={0, 2, 8, 512}} Do[s0=Prime[j]^a+2^a; s1=Prime[j]^b+2^b; s2=Prime[j]^c+2^c; s3=Prime[j]^d+2^d; If[PrimeQ[s0]&&PrimeQ[s1]&&PrimeQ[s2]&&PrimeQ[s3], Print[{j, Prime[j]}]; ta[[u]]=Prime[j]; u=u+1], {j, 1, 1000000}] ta
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CROSSREFS
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Cf. A082101, A094473-A094499.
Sequence in context: A134159 A070905 A068532 this_sequence A057842 A023345 A006541
Adjacent sequences: A094313 A094314 A094315 this_sequence A094317 A094318 A094319
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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 02 2004
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EXTENSIONS
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a(6)-a(23) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Oct 12 2008
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