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A052351
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First primes from A023200 where distance to the next 4-twin increases.
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0
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7, 67, 19, 43, 163, 127, 397, 229, 769, 1489, 673, 9547, 1009, 1783, 1693, 2857, 11677, 23869, 499, 1093, 4003, 28657, 10459, 29383, 12487, 6043, 41647, 7039, 17029, 19207, 15073, 24247, 65839, 29629, 18583, 9883, 66697, 100699, 7243
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 1. a(n) is a "lesser of a 4-twin" or geminor-4 prime whose distance to is 6n to the next twin.
2. both the smallest distance (A052380) and its increment for 4-twins is 6.
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FORMULA
| The prime a(n)=p is the first which determines a prime quadruple: [p, p+4, p+6n, p+6n+4] and difference pattern of [4, 6n-4, 4].
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EXAMPLE
| n=1 gives [7,11,7+6=13,17] with no primes between 11 and 13.
n=5 specifies [163,167,163+30=191,193] with 4 primes between 167 and 193.
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CROSSREFS
| A023200, A053320, A053280, A053281.
Sequence in context: A024395 A003286 A197744 * A106111 A142786 A139783
Adjacent sequences: A052348 A052349 A052350 * A052352 A052353 A052354
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Mar 07 2000
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