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A129472 Primes p of Erdos-Selfridge class 4+ with largest prime factor of p+1 not of class 3+. 4
3181, 4513, 4957, 6067, 7177, 8731, 9397, 10433, 13171, 14947, 15761, 17389, 19387, 19609, 22051, 22273, 22453, 22717, 23531, 23753, 24197, 26161, 27823, 28711, 37369, 37591, 38183, 38923, 39293, 40993, 41143, 42697, 43067, 44621, 44843 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A129470

LINKS

Table of n, a(n) for n=1..35.

EXAMPLE

a(1) = 3181 = -1+2*37*43 is a prime of class 4+ since 37 is of class 3+, but the largest divisor of 3181+1 is 43 which is only of class 2+.

PROG

(PARI) class(n, s=1)={n=factor(n+s)[, 1]; if(n[ #n]<=3, 1, for(i=2, #n, n[1]=max(class(n[i], s)+1, n[1])); n[1])}; A129472(n=100, p=1, a=[])={ local(f); while( #a<n, until( f[ #f] > 3 & 3 > class(f[ #f]), f=factor(1+p=nextprime(p+1))[, 1]); forstep( i=#f-1, 2, -1, if( 4 < f[1] = max( f[1], 1+class( f[i] )), next(2))); if( f[1] == 4, a=concat(a, p); /*print(#a, " ", p)*/)); a}

CROSSREFS

Subsequence of A129470; see also A129471, A129473, A129477-A129478, A129469, A005113, A005105-A005107.

Sequence in context: A155484 A345599 A345858 * A023309 A023337 A236131

Adjacent sequences:  A129469 A129470 A129471 * A129473 A129474 A129475

KEYWORD

easy,nonn

AUTHOR

M. F. Hasler, Apr 17 2007

STATUS

approved

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Last modified December 5 09:45 EST 2021. Contains 349543 sequences. (Running on oeis4.)