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A272550 Lexicographically earliest increasing sequence of primes such that odd-indexed terms have final digit 1 and even-indexed terms have final digit 9. 1

%I #41 Dec 10 2019 00:14:53

%S 11,19,31,59,61,79,101,109,131,139,151,179,181,199,211,229,241,269,

%T 271,349,401,409,421,439,461,479,491,499,521,569,571,599,601,619,631,

%U 659,661,709,751,769,811,829,881,919,941,1009,1021,1039,1051,1069,1091,1109

%N Lexicographically earliest increasing sequence of primes such that odd-indexed terms have final digit 1 and even-indexed terms have final digit 9.

%C a(n) + a(n+1) = 0 (mod 10) for all n >= 1.

%H Alois P. Heinz, <a href="/A272550/b272550.txt">Table of n, a(n) for n = 1..10000</a>

%p a:= proc(n) option remember; local p, d;

%p if n=1 then p:= 11

%p else p:= a(n-1); d:= `if`(n::odd, 1, 9);

%p while irem(p, 10)<>d do p:=nextprime(p) od

%p fi; p

%p end:

%p seq(a(n), n=1..100); # _Alois P. Heinz_, May 11 2016

%t a[1] = 11; a[n_] := a[n] = Block[{d, q = a[n-1]}, d=10-Mod[q,10]; While[ Mod[q = NextPrime@ q, 10] != d]; q]; Array[a, 30] (* _Giovanni Resta_, May 11 2016 *)

%K nonn,easy,base

%O 1,1

%A _Giovanni Teofilatto_, May 11 2016

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Last modified April 23 02:23 EDT 2024. Contains 371906 sequences. (Running on oeis4.)