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A098061
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Primes p such that p - 6 is a product of two consecutive primes.
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1
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41, 83, 149, 227, 443, 673, 1153, 1523, 2027, 4093, 5189, 6563, 7393, 9803, 11027, 12323, 20717, 39209, 47059, 50627, 60497, 64513, 70753, 95483, 104933, 123203, 126733, 131759, 136897, 154439, 181457, 186629, 190093, 194483, 213449, 233279, 251003, 256033
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OFFSET
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1,1
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COMMENTS
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Is this sequence infinite?
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LINKS
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EXAMPLE
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prime(3)*prime(4) = 35. 35+6 = 41, the first entry in the table.
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MATHEMATICA
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Select[Times@@#+6&/@Partition[Prime[Range[100]], 2, 1], PrimeQ] (* Harvey P. Dale, Apr 25 2011 *)
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PROG
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(PARI) f(n, m) = for(x=2, n, z=(prime(x+1)*prime(x)); if(isprime(z+m), print1(z+m", ")))
(PARI) is(n)=if(n<9, return(0)); my(q=precprime(sqrtint(n-6))); n-6==q*nextprime(q+1) && isprime(n) \\ Charles R Greathouse IV, Jul 22 2013
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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