This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A031934 Lower prime of a pair of consecutive primes having a difference of 16. 11
 1831, 1933, 2113, 2221, 2251, 2593, 2803, 3121, 3373, 3391, 3433, 3643, 4057, 4111, 4567, 4621, 5023, 5281, 5623, 5881, 6637, 6763, 6841, 6883, 7333, 7417, 7993, 8581, 8647, 9013, 9241, 9661, 9907, 10273, 10513, 10867, 10957, 11197 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Conjecture: The sequence is infinite and for every n, a(n+1) < a(n)^(1+1/n); i.e., a(n)^(1/n) is a strictly decreasing function of n (see comment lines of the sequence A248855). - Jahangeer Kholdi and Farideh Firoozbakht, Nov 29 2014 All terms are == 1 mod 6. - Zak Seidov, Mar 27 2015 n such that A000720(n) = A000720(n-1)+1 = A000720(n+15) = A000720(n+16)-1. - Robert Israel, Mar 27 2015 LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 MAPLE P:= select(isprime, [seq(2*i+1, i=1..10000)]): P[select(t -> P[t+1]-P[t]=16, [\$1..nops(P)-1])]; # Robert Israel, Mar 27 2015 MATHEMATICA Transpose[Select[Partition[Prime[Range[1500]], 2, 1], Last[#] - First[#] == 16 &]][[1]] (* Bruno Berselli, Apr 09 2013 *) PROG (MAGMA) [p: p in PrimesUpTo(12000) | NextPrime(p)-p eq 16]; // Bruno Berselli, Apr 09 2013 (PARI) is(n)=isprime(n) && nextprime(n+1)==n+16 \\ Charles R Greathouse IV, Sep 14 2015 CROSSREFS Cf. A000720, A049488, A248855. Sequence in context: A205921 A196895 A151644 * A020423 A031804 A054813 Adjacent sequences:  A031931 A031932 A031933 * A031935 A031936 A031937 KEYWORD nonn AUTHOR 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 October 22 22:34 EDT 2019. Contains 328335 sequences. (Running on oeis4.)