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%I #10 Apr 03 2023 10:36:13
%S 2,13,61,109,1009,2689,8089,33049,53881,87481,483289,515761,1083289,
%T 3818929,9257329
%N Primes at which occur records of A205531 and A205535.
%C Related to the 4.X Selfridge Conjecture by P. Underwood, cf. link.
%C Records occur at [A205532(n), A205534(n)] = [2, 1], [13, 3], [61, 5], [109, 6], [1009, 9], [2689, 11], [8089, 15], [33049, 17], [53881, 21], [87481, 27], [483289, 29], [515761, 35], [1083289, 39], [3818929, 45], [9257329, 51],...
%C It appears that a(n)=A102295(n+1) for n>4; they are also terms of A002224 and A096637.
%H P. Underwood, <a href="https://t5k.org/bios/page.php?id=181">4.X Selfridge Conjecture</a> (on "Prime Pages" profile), Jan 2012.
%o (PARI) m=-1; forprime(p=1,default(primelimit), if(m+0<m=max(m,A205535(p),m), print1(p",")))
%K nonn
%O 1,1
%A _M. F. Hasler_, Jan 28 2012
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