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A073025 Primes p such that p-1 has a prime factor q > p^(3/4). 2

%I #6 Feb 27 2020 11:28:04

%S 23,47,59,83,107,167,179,227,263,269,293,317,347,359,383,389,467,479,

%T 503,509,557,563,587,653,719,773,797,839,863,887,983,1019,1109,1187,

%U 1229,1283,1307,1319,1367,1399,1439,1447,1487,1493,1523,1543,1579,1619,1627,1637

%N Primes p such that p-1 has a prime factor q > p^(3/4).

%p with(numtheory); a := []; for i from 2 to 1000 do p := ithprime(i); t1 := factorset(p-1); q := t1[nops(t1)]; if q^4 > p^3 then a := [op(a),p]; fi; od:

%t Select[Prime[Range[300]],FactorInteger[#-1][[-1,1]]>Surd[#^3,4]&] (* _Harvey P. Dale_, Feb 27 2020 *)

%Y Cf. A005384, A005385, A073024, A073026.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Aug 23 2002

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Last modified June 11 15:35 EDT 2024. Contains 373311 sequences. (Running on oeis4.)