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A088254
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Primes p with property that if p = prime(k), if the product of all composite numbers between prime(k) and prime(k+1) is one less than a prime.
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1
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2, 3, 5, 11, 13, 17, 19, 29, 37, 41, 43, 53, 59, 71, 73, 97, 101, 107, 109, 127, 137, 149, 167, 179, 191, 193, 197, 227, 233, 239, 269, 281, 311, 331, 347, 349, 419, 431, 439, 461, 463, 467, 509, 521, 569, 599, 617, 641, 647, 659, 739, 757, 769, 809, 821, 827
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OFFSET
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1,1
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COMMENTS
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Conjecture: the sequence is infinite. The smaller member of the twin prime pairs is a term.
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LINKS
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EXAMPLE
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19 is a member as 20*21*22 +1 = 9241 is a prime.
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MATHEMATICA
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Transpose[Select[Partition[Prime[Range[200]], 2, 1], PrimeQ[Times@@ Range[ First[#]+1, Last[#]-1]+1]&]][[1]] (* Harvey P. Dale, Oct 31 2011 *)
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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