A336721 Values k where A336719(k) increases.
2, 3, 5, 7, 13, 17, 19, 31, 49, 61, 83, 89, 107, 127, 167, 179, 197, 233, 241, 269, 281, 347, 373, 421, 443, 457, 487, 521, 607, 697, 769, 829, 881, 1049, 1063
Offset: 1
Programs
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PARI
re=0;for(k=2,+oo,p=vecmax(factor(2^k-1)[,1]);if(p>re,re=p;print1(k,", ")))
Comments