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Search: id:A120941
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| A120941 |
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The difference k-j where p(k) is the smallest prime greater than p(j)*p(j+1). |
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+0
1
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| 3, 5, 9, 18, 30, 42, 60, 77, 113, 145, 179, 229, 262, 293, 353, 430, 487, 545, 622, 671, 737, 826, 916, 1052, 1184, 1249, 1310, 1373, 1443, 1654, 1894, 2026, 2131, 2298, 2481, 2602, 2782, 2943, 3107, 3298, 3436, 3651, 3866, 3975, 4083, 4346, 4808, 5144
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Parity of A120941: 1,1,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,....
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EXAMPLE
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The product of the 4th prime number, 7, and the 5th prime, 11, is 77; the smallest prime greater than this is the 22nd prime, 79; therefore the 4th term of the sequence is 22-4 = 18.
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MATHEMATICA
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Table[PrimePi[Prime[n]Prime[n + 1]] - n + 1, {n, 48}] (Zak Seidov, Aug 21 2006)
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CROSSREFS
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Cf. A074928.
Sequence in context: A118330 A062221 A074861 this_sequence A108227 A028411 A018098
Adjacent sequences: A120938 A120939 A120940 this_sequence A120942 A120943 A120944
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KEYWORD
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nonn
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AUTHOR
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Axel Harvey (ax(AT)hirsig.ca), Aug 18 2006
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EXTENSIONS
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More terms from Robert G. Wilson v, Aug 21 2006
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