The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 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 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.

Last modified July 30 12:39 EDT 2021. Contains 346359 sequences. (Running on oeis4.)