cp's OEIS Frontend

A244924 Odd integers n such that for every integer k>0, n*2^k-1 has a divisor in the set { 3, 5, 7, 13, 17, 97, 673 }.

%I A244924 #10 Apr 25 2016 11:50:03
%S A244924 73520771,108288041,127499219,141239113,160792529,198545797,205293103,
%T A244924 217763051,227258803,262056089,269931509,303224819,307060289,
%U A244924 353982553,368427809,430034677,525141899,581603107,585721991,600824113,612314921,644606467,718519237,723522461
%N A244924 Odd integers n such that for every integer k>0, n*2^k-1 has a divisor in the set { 3, 5, 7, 13, 17, 97, 673 }.
%C A244924 For n > 96 a(n) = a(n-96) + 3029691210, the first 96 values are given in the table.
%H A244924 Pierre CAMI, <a href="/A244924/b244924.txt">Table of n, a(n) for n = 1..96</a>
%F A244924 For n > 96 a(n)=a(n-96) + 3029691210
%o A244924 (PFGW & SCRIPT)
%o A244924 SCRIPT
%o A244924 DIM k
%o A244924 DIM n,73520701
%o A244924 OPENFILEOUT myf,a(n).txt
%o A244924 LABEL loop1
%o A244924 SET n,n+2
%o A244924 IF n>3103211981 THEN END
%o A244924 SET k,0
%o A244924 LABEL loop2
%o A244924 SET k,k+1
%o A244924 IF k>300 THEN GOTO a
%o A244924 IF (n*2^k-1)%3==0 THEN GOTO loop2
%o A244924 IF (n*2^k-1)%5==0 THEN GOTO loop2
%o A244924 IF (n*2^k-1)%7==0 THEN GOTO loop2
%o A244924 IF (n*2^k-1)%13==0 THEN GOTO loop2
%o A244924 IF (n*2^k-1)%17==0 THEN GOTO loop2
%o A244924 IF (n*2^k-1)%97==0 THEN GOTO loop2
%o A244924 IF (n*2^k-1)%673==0 THEN GOTO loop2
%o A244924 GOTO loop1
%o A244924 LABEL a
%o A244924 WRITE myf,n
%o A244924 GOTO loop1
%Y A244924 Cf. A244070, A244071, A244072, A244073, A244074, A244076.
%K A244924 nonn
%O A244924 1,1
%A A244924 _Pierre CAMI_, Jul 08 2014