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A252791 Numbers m such that 6^m + m is a semiprime. 1

%I #18 May 02 2022 01:38:28

%S 2,3,5,7,11,23,41,55,73,91,131,199,221,287

%N Numbers m such that 6^m + m is a semiprime.

%C From _Kevin P. Thompson_, May 01 2022: (Start)

%C a(15) >= 335.

%C 391, 443, 607, 683, 737, and 745 are also terms in this sequence. (End)

%H FactorDB, <a href="http://factordb.com/index.php?id=1100000000613180791">Status of 6^335+335</a>

%e 2 is in this sequence because 6^2+2 = 2*19 is semiprime.

%e 7 is in this sequence because 6^7+7 = 271*1033 and these two factors are prime.

%t Select[Range[90], PrimeOmega[6^# + #]==2 &]

%o (Magma) IsSemiprime:=func<i | &+[d[2]: d in Factorization(i)] eq 2>; [m: m in [1..90] | IsSemiprime(s) where s is 6^m+m];

%Y Cf. similar sequences listed in A252788.

%Y Cf. A252659.

%K nonn,more

%O 1,1

%A _Vincenzo Librandi_, Dec 25 2014

%E a(10)-a(14) by _Luke March_, Jul 08 2015

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Last modified April 20 03:03 EDT 2024. Contains 371798 sequences. (Running on oeis4.)