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Search: id:A118590
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| A118590 |
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Larger of two consecutive primes whose positive difference is a square. |
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+0
1
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| 3, 11, 17, 23, 41, 47, 71, 83, 101, 107, 113, 131, 167, 197, 227, 233, 281, 311, 317, 353, 383, 401, 443, 461, 467, 491, 503, 617, 647, 677, 743, 761, 773, 827, 857, 863, 881, 887, 911, 941, 971, 1013, 1091, 1097, 1217, 1283, 1301, 1307, 1427, 1433, 1451, 1487
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Superset of A031935 and A031505. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 08 2008]
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EXAMPLE
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7 and 11 are consecutive primes. 11-7 = 4 a square, so 11 is the second term in the table.
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PROGRAM
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(PARI) g(n) = for(x=2, n, if(issquare(prime(x)-prime(x-1)), print1(prime(x)", ")))
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CROSSREFS
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Sequence in context: A108328 A153419 A079020 this_sequence A136082 A106083 A113803
Adjacent sequences: A118587 A118588 A118589 this_sequence A118591 A118592 A118593
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KEYWORD
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easy,nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), May 07 2006
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