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Search: id:A053182
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| A053182 |
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Primes p such that p^2+p+1 is prime. |
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+0 13
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| 2, 3, 5, 17, 41, 59, 71, 89, 101, 131, 167, 173, 293, 383, 677, 701, 743, 761, 773, 827, 839, 857, 911, 1091, 1097, 1163, 1181, 1193, 1217, 1373, 1427, 1487, 1559, 1583, 1709, 1811, 1847, 1931, 1973, 2129, 2273, 2309, 2339, 2411, 2663, 2729, 2789, 2957
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Starting with a(3)=5 all terms are of the form 6k-1,k=1,3,7,10,12,15,17,22,28,29,49,64,113,117,124,127,129,138,140,143,152,182,183,194,197,199,203,229,238,248,260,264,285,302,.. [From Zak Seidov (zakseidov(AT)yahoo.com), Nov 10 2008]
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
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MATHEMATICA
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f[n_]:=1+n+n^2; lst={}; Do[p=Prime[n]; If[PrimeQ[f[p]], AppendTo[lst, p]], {n, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 24 2009]
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CROSSREFS
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Cf. A053184, A065508, A091567
Sequence in context: A077498 A118958 A163588 this_sequence A076706 A019350 A103074
Adjacent sequences: A053179 A053180 A053181 this_sequence A053183 A053184 A053185
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KEYWORD
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easy,nonn
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AUTHOR
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Enoch Haga (Enokh(AT)comcast.net), Mar 01 2000
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