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a(n) is smallest prime such that a(n)+1 is a proper multiple of a(n-1)+1 [with a(1)=1].
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%I #4 Sep 03 2022 22:10:09

%S 1,3,7,23,47,191,383,1151,6911,27647,138239,691199,3455999,34559999,

%T 138239999,414719999,2073599999,16588799999,364953599999,

%U 4744396799999,66421555199999,132843110399999,664215551999999,3321077759999999

%N a(n) is smallest prime such that a(n)+1 is a proper multiple of a(n-1)+1 [with a(1)=1].

%F a(n)= Product{i=1_n}[A036013(i)]-1 = a(n-1)*A036013(n)-1+A036013(n).

%Y Cf. A036013, A057999.

%K nonn

%O 1,2

%A _Henry Bottomley_, Nov 02 2000