# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a050434 Showing 1-1 of 1 %I A050434 #37 Apr 19 2020 07:46:59 %S A050434 396733,838249,1313467,1648081,1655707,2345989,2784373,3254959, %T A050434 3595489,4047157,4359403,4571107,4665553,4783873,5211109,5398597, %U A050434 5528287,5723899,6027283,6242263,6429223,6851863,7259167,7554367 %N A050434 Primes whose next higher prime is 100 greater. %C A050434 All terms == 1 mod 6. - _Zak Seidov_, Dec 21 2012 %C A050434 Minimal difference is 102, see A289908. - _Zak Seidov_, Apr 02 2018 %H A050434 Remi Eismann, Table of n, a(n) for n = 1..10000 %H A050434 Index entries for primes, gaps between %e A050434 396733 is included because the next larger prime is 396833. %p A050434 Primes:= select(isprime,[2,seq(2*i+1,i=1..5*10^6)]): %p A050434 X:= Primes[2..-1] - Primes[1..-2]: %p A050434 J:=select(t -> X[t]=100, [$1..nops(X)]): %p A050434 Primes[J]; # _Robert Israel_, Jun 29 2015 %t A050434 Select[Partition[Prime[Range[600000]],2,1],#[[2]]-#[[1]]==100&][[All,1]] (* _Harvey P. Dale_, Aug 14 2018 *) %Y A050434 Cf. A289908. %K A050434 easy,nonn %O A050434 1,1 %A A050434 _Harvey P. Dale_, Dec 22 1999 %E A050434 More terms from _Frank Ellermann_, Jan 18 2002 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE