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A084750
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Numbers k such that k! - p is a prime, where p is the smallest prime > k.
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3
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4, 5, 10, 11, 12, 14, 29, 53, 81, 90, 116, 236, 323, 346, 1172, 2957, 8400
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OFFSET
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1,1
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COMMENTS
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Numbers k such that k! - NextPrime(k) is prime.
If k != 3, there does not exist a prime p and a number k such that k! - NextPrime(k) < p < k! - 1. - Farideh Firoozbakht, Feb 26 2004
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LINKS
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EXAMPLE
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10 is in the sequence because 10! = 3628800, NextPrime(10) = 11 and 3628800 - 11 = 3628789 is prime.
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MATHEMATICA
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CROSSREFS
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KEYWORD
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more,nonn
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AUTHOR
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Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 16 2003
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EXTENSIONS
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STATUS
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approved
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