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A096380
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Differences between the sum of the first three primes and the fourth prime in consecutive prime quadruples.
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0
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3, 4, 10, 14, 22, 26, 30, 40, 46, 56, 66, 74, 78, 84, 98, 106, 116, 126, 132, 140, 146, 154, 168, 184, 194, 202, 206, 202, 218, 234, 256, 258, 274, 282, 294, 304, 314, 324, 338, 342, 358, 368, 382, 378, 384, 406, 432, 446, 450, 460, 462, 474, 486, 502, 518, 526
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,1
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COMMENTS
| There are occurrences where the next term is less than the current term. Conjecture: The number of occurrences where the current term exceeds the next term is infinite.
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FORMULA
| prime(n) + prime(n+1)+prime(n+2) - prime(n+3)
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MATHEMATICA
| Total[Take[#, 3]]-Last[#]&/@Partition[Prime[Range[100]], 4, 1] (* From Harvey P. Dale, May 14 2011 *)
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PROG
| (PARI) g(n)=for(x=1, n, print1(prime(x)+prime(x+1)+prime(x+2)-prime(x+3)", "))
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CROSSREFS
| Sequence in context: A143372 A035594 A167273 * A071019 A173285 A025084
Adjacent sequences: A096377 A096378 A096379 * A096381 A096382 A096383
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KEYWORD
| nonn
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AUTHOR
| Cino Hilliard (hillcino368(AT)gmail.com), Aug 04 2004
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