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A060330
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Primes the sum of five consecutive composite numbers.
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5
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37, 53, 67, 83, 97, 157, 293, 307, 353, 367, 503, 547, 683, 743, 757, 907, 953, 967, 983, 997, 1193, 1553, 1567, 1733, 1747, 2153, 2617, 2843, 2857, 3083, 3203, 3217, 3307, 4057, 4133, 4283, 4297, 5107, 5153, 5167, 5303, 6143, 6397, 6607, 7253, 7417
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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composite[ n_Integer ] := (k = n + PrimePi[ n ] + 1; While[ k - PrimePi[ k ] - 1 != n, k++ ]; k); a = {}; Do[ p = composite[ n ] + composite[ n + 1 ] + composite[ n + 2 ] + composite[ n + 3 ] + composite[ n + 4 ]; If[ PrimeQ[ p ], a = Append[ a, p ] ], {n, 1, 1500} ]; a
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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