login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A086978 Increasing peaks in the prime gap sequence A001632. 3
211, 1847, 5623, 30631, 81509, 82129, 162209, 173429, 404671, 542683, 544367, 1101071, 1444411, 2238931, 5845309, 6752747, 6958801, 11981587, 13626407, 49269739, 83751287, 147684323, 166726561, 378044179, 895858267, 1872852203 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) is the larger of the two consecutive primes having a late occurring prime gap g = p_k+1 - p_k. All even gaps smaller than g occur at a smaller prime. Also, the next even gap g+2 also occurs earlier.

REFERENCES

P. Ribenboim, The Little Book of Big Primes. Springer-Verlag, 1991, p. 144.

LINKS

Table of n, a(n) for n=1..26.

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

Eric Weisstein's World of Mathematics, Prime Gaps Prime Gaps.

EXAMPLE

1847 is in this list because the previous prime is 1831, giving a

prime gap of 16. All even gaps less than 16 occur before this (for

smaller primes) and the next even gap, 18, also occurs earlier.

CROSSREFS

Cf. A000230, A001223, A001632, A038664, A086977, A086979, A086980, A002386.

Sequence in context: A137872 A053072 A303092 * A108829 A111480 A291075

Adjacent sequences:  A086975 A086976 A086977 * A086979 A086980 A086981

KEYWORD

nonn

AUTHOR

Harry J. Smith, Jul 26 2003

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 21 16:04 EST 2019. Contains 329371 sequences. (Running on oeis4.)