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Search: id:A064398
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| A064398 |
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Numbers n such that p(n) + p(n+1) is a square and n is prime. |
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+0
1
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| 7, 61, 293, 919, 2693, 9857, 13763, 16033, 18367, 39419, 44789, 64433, 132511, 157307, 195407, 213289, 241513, 243589, 258331, 293989, 332573, 436673, 462067, 478637, 523777, 583367, 976933, 983557, 1329673, 1481099, 1582069, 1753963
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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7 is in the sequence because the seventh and eighth primes are 17 and 19. Added together, they make 36 which is the square of 6.
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MATHEMATICA
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p = q = 1; Do[ p = q; q = Prime[n + 1]; If[ PrimeQ[n] && IntegerQ[ Sqrt[p + q]], Print[n]], {n, 1, 10^7/4} ]
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PROGRAM
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(PARI) for(n=1, 10^6, x=prime(n)+prime(n+1); if(issquare(x) && isprime(n), print(n)))
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CROSSREFS
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Sequence in context: A079672 A100698 A141952 this_sequence A129079 A135165 A164943
Adjacent sequences: A064395 A064396 A064397 this_sequence A064399 A064400 A064401
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KEYWORD
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nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Sep 29 2001
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 30 2001
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