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The gaps after these primes are the first n positive even integers, each used exactly once.

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`%I #15 Jul 14 2013 06:28:27
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`%S 3,5,17,83,337,659,2621,1801,24113,24113,503227,894637,9903149,
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`%T 4317193,11012317,235397039,8516934067,14990671117,6955703129,
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`%U 52600764283,6955703129,2700022855487,4659851923081,6485648067251,10643798564411
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`%N The gaps after these primes are the first n positive even integers, each used exactly once.
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`%C Problem proposed by and terms through a(8) by Fred Schneider. No other terms < 10^12.
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`%C a(26)-a(29) > 1.4*10^14. - _Giovanni Resta_, Jul 13 2013
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`%H Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_696.htm">Prime Puzzle 696: 1801</a>
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`%e Primes 83, 89, 97, 101, and 103 have gaps 6, 8, 4, and 2, resp. Each of the first four positive even integers is used exactly once, so a(4)=83.
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`%Y Cf. A001223.
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`%K nonn,more
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`%O 1,1
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`%A _Jud McCranie_, Jul 07 2013
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`%E a(18) corrected and a(22)-a(25) added, _Giovanni Resta_, Jul 13 2013
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