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A014321 The next new gap between successive odd primes (divided by 2). 3
1, 2, 3, 4, 7, 5, 6, 9, 10, 11, 17, 12, 8, 13, 14, 15, 16, 18, 22, 21, 20, 26, 24, 19, 36, 25, 31, 27, 30, 29, 23, 28, 32, 34, 43, 33, 35, 39, 38, 41, 48, 56, 50, 37, 45, 42, 57, 40, 44, 49, 46, 53, 47, 59, 66, 52, 51, 55, 63, 60, 74, 54, 61, 69, 64, 77, 65, 58, 73, 68, 62, 67 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

If Polignac's conjecture holds (which is highly likely), then this sequence is a permutation of the positive integers. Even a weaker form of the conjecture would be enough: "Every even number occurs at least once as difference of subsequent primes". - Ferenc Adorjan (ferencadorjan(AT)gmail.com) May 17 2007

LINKS

Ferenc Adorjan, Table of n, a(n) for n=1..999 based on T. R. Nicely's web page

C. K. Caldwell, The prime pages

T. R. Nicely, List of "First occurrence prime gaps"

CROSSREFS

Cf. A014320.

Equals A058320(n+1)/2.

Inverse: A130264, Cf. A086979.

Sequence in context: A071662 A125978 A268131 * A175343 A239965 A072767

Adjacent sequences:  A014318 A014319 A014320 * A014322 A014323 A014324

KEYWORD

nonn

AUTHOR

Hynek Mlcousek (hynek(AT)dior.ics.muni.cz)

EXTENSIONS

More terms from Ferenc Adorjan (ferencadorjan(AT)gmail.com) May 17 2007

STATUS

approved

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Last modified August 17 11:14 EDT 2019. Contains 326057 sequences. (Running on oeis4.)