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A050434 Primes whose next higher prime is 100 greater. 7
396733, 838249, 1313467, 1648081, 1655707, 2345989, 2784373, 3254959, 3595489, 4047157, 4359403, 4571107, 4665553, 4783873, 5211109, 5398597, 5528287, 5723899, 6027283, 6242263, 6429223, 6851863, 7259167, 7554367 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All terms == 1 mod 6. - Zak Seidov, Dec 21 2012

Minimal difference is 102, see A289908. - Zak Seidov, Apr 02 2018

LINKS

Remi Eismann, Table of n, a(n) for n = 1..10000

Index entries for primes, gaps between

EXAMPLE

396733 is included because the next larger prime is 396833.

MAPLE

Primes:= select(isprime, [2, seq(2*i+1, i=1..5*10^6)]):

X:= Primes[2..-1] - Primes[1..-2]:

J:=select(t -> X[t]=100, [$1..nops(X)]):

Primes[J]; # Robert Israel, Jun 29 2015

MATHEMATICA

Select[Partition[Prime[Range[600000]], 2, 1], #[[2]]-#[[1]]==100&][[All, 1]] (* Harvey P. Dale, Aug 14 2018 *)

CROSSREFS

Cf. A289908.

Sequence in context: A233612 A234909 A224633 * A224630 A251341 A234331

Adjacent sequences:  A050431 A050432 A050433 * A050435 A050436 A050437

KEYWORD

easy,nonn

AUTHOR

Harvey P. Dale, Dec 22 1999

EXTENSIONS

More terms from Frank Ellermann, Jan 18 2002

STATUS

approved

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Last modified August 10 14:50 EDT 2020. Contains 336381 sequences. (Running on oeis4.)