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A093933 a(1) = 3; for n >= 1, a(n+1) is the least odd prime not already used such that abs(a(n+1)-a(n)) is a multiple of prime(n). 1

%I #20 Oct 26 2023 00:42:48

%S 3,5,11,31,17,61,113,79,41,179,353,43,191,109,23,211,317,199,443,577,

%T 151,881,1039,541,7,977,1381,557,1627,101,1231,1993,421,2339,1783,293,

%U 3011,499,173,3847,733,1091,367,2659,2273,1879,1481,3169,47,1409,1867

%N a(1) = 3; for n >= 1, a(n+1) is the least odd prime not already used such that abs(a(n+1)-a(n)) is a multiple of prime(n).

%C a(911) = 7109 = prime(911), so the sequence ends here. The smallest primes not included are 2, 13, 19, 29 and 37. - _David Wasserman_, Mar 09 2007

%H Pontus von Brömssen, <a href="/A093933/b093933.txt">Table of n, a(n) for n = 1..911</a>

%e a(5) = 17 hence a(6) = 61, since (61-17) = 44 == 0 (mod (prime(5))), prime(5) = 11. 17 + 22 = 39 is not a prime.

%Y Cf. A093932.

%K nonn,fini,full

%O 1,1

%A _Amarnath Murthy_, Apr 25 2004

%E a(13)-a(31) from _Stefan Steinerberger_, Nov 10 2005

%E Corrected and extended by _David Wasserman_, Mar 09 2007

%E Clarified definition. - _N. J. A. Sloane_, Oct 26 2023

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Last modified August 13 21:35 EDT 2024. Contains 375144 sequences. (Running on oeis4.)