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A093894 Composite members of A093893. 2
49, 87, 91, 121, 133, 169, 183, 213, 217, 247, 249, 259, 287, 301, 339, 343, 361, 403, 411, 427, 445, 469, 473, 481, 501, 511, 527, 529, 553, 559, 581, 589, 591, 633, 679, 699, 703, 713, 717, 721, 763, 789, 793, 817, 841, 843, 871, 889, 895, 949, 951, 961 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Comment: Most terms of this sequence have four divisors. Some (the prime squares) have three divisors and very few terms have more than four divisors (the first one is 4753, with six). Conjecture: This sequence is infinite. - Adam M. Kalman (mocha(AT)clarityconnect.com), Nov 11 2004

LINKS

Charles R. Greathouse IV, Sep 10, 2008, Table of n, a(n) for n = 1..10001

EXAMPLE

133 is a member, the divisors are 1,7,19,133 and no sum of two or more gives a prime.

MATHEMATICA

For[a:=4, a<=2000, s =Divisors[a]; n := 1; d := False; While[(n<=2^Length[s])\[And]( ["not" character]d), If[Length[NthSubset[n, s]]>=2, If[ !PrimeQ[Plus@@NthSubset[n, s]], n++, d:= True], n++ ]]; If[ ["not" character]d, Print[a]]; a++; While[PrimeQ[a], a+=2]]; (Kalman)

CROSSREFS

Cf. A093890, A093891, A093892, A093893.

Sequence in context: A056938 A106311 A006832 * A158725 A090825 A157342

Adjacent sequences:  A093891 A093892 A093893 * A093895 A093896 A093897

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 23 2004

EXTENSIONS

Corrected and extended by Adam M. Kalman (mocha(AT)clarityconnect.com), Nov 11 2004

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Last modified February 15 16:28 EST 2012. Contains 205823 sequences.