A227335 The gaps after these primes are the first n positive even integers, each used exactly once.

3, 5, 17, 83, 337, 659, 2621, 1801, 24113, 24113, 503227, 894637, 9903149, 4317193, 11012317, 235397039, 8516934067, 14990671117, 6955703129, 52600764283, 6955703129, 2700022855487, 4659851923081, 6485648067251, 10643798564411

Offset

1,1

Comments

Problem proposed by and terms through a(8) by Fred Schneider. No other terms < 10^12.

a(26)-a(29) > 1.4*10^14. - Giovanni Resta, Jul 13 2013

Links

Table of n, a(n) for n=1..25.

Carlos Rivera, Prime Puzzle 696: 1801

Example

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.

Crossrefs

Cf. A001223.

Sequence in context: A232238 A102295 A365518 * A351718 A281627 A102846

Adjacent sequences: A227332 A227333 A227334 * A227336 A227337 A227338

Keyword

nonn,more

Author

Jud McCranie, Jul 07 2013

Extensions

a(18) corrected and a(22)-a(25) added, Giovanni Resta, Jul 13 2013

Status

approved