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Search: id:A087516
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| A087516 |
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Consider pairs (i,j) such that j*P(i)# - P(i+2) and j*P(i)# - P(i+1) are consecutive primes and 0 < j < P(i+1), where P(r) = r-th prime and P(r)# = r-th primorial number (A002110). Sequence gives i values. |
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3
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| 5, 5, 5, 7, 7, 7, 7, 7, 7, 11, 13, 13, 13, 13, 13, 17, 17, 17, 17, 17, 19, 23, 23, 29, 29, 31, 37, 37, 37, 43, 43, 43, 47, 47, 59, 61, 61, 61, 67, 67, 67, 73, 79, 79, 83, 83, 89, 89, 97, 97, 103, 109, 127, 131, 131, 137, 137, 151, 163, 163, 167, 167, 173, 173, 173, 179, 179
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OFFSET
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0,1
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EXAMPLE
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1*2*3*5 - 11 = 19, 1*2*3*5 - 7 = 23, 19 and 23 consecutive primes;
3*2*3*5 - 11 = 79, 3*2*3*5 - 7 = 83, 79 and 83 consecutive primes;
4*2*3*5 - 11 = 109, 4*2*3*5 - 7 = 113, 109 and 113 consecutive primes;
so 5 = P(3) is the first term in the sequence and occurs 3 times for j=1,3,4.
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CROSSREFS
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A087517 gives j values.
Sequence in context: A092279 A159002 A127934 this_sequence A135089 A127310 A101597
Adjacent sequences: A087513 A087514 A087515 this_sequence A087517 A087518 A087519
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KEYWORD
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nonn
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AUTHOR
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Pierre CAMI (colettecami(AT)aol.com), Oct 23 2003
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