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A320633
Composite numbers whose prime indices are also composite.
11
49, 91, 133, 161, 169, 203, 247, 259, 299, 301, 329, 343, 361, 371, 377, 427, 437, 481, 497, 511, 529, 551, 553, 559, 611, 623, 637, 667, 679, 689, 703, 707, 721, 749, 791, 793, 817, 841, 851, 893, 917, 923, 931, 949, 959, 973, 989, 1007, 1027, 1043, 1057
OFFSET
1,1
COMMENTS
A prime index of n is a number m such that prime(m) divides n.
EXAMPLE
The sequence of terms begins:
49 = prime(4)^2
91 = prime(4)*prime(6)
133 = prime(4)*prime(8)
161 = prime(4)*prime(9)
169 = prime(6)^2
203 = prime(4)*prime(10)
247 = prime(6)*prime(8)
259 = prime(4)*prime(12)
299 = prime(6)*prime(9)
301 = prime(4)*prime(14)
329 = prime(4)*prime(15)
343 = prime(4)^3
361 = prime(8)^2
371 = prime(4)*prime(16)
377 = prime(6)*prime(10)
427 = prime(4)*prime(18)
437 = prime(8)*prime(9)
481 = prime(6)*prime(12)
497 = prime(4)*prime(20)
511 = prime(4)*prime(21)
529 = prime(9)^2
551 = prime(8)*prime(10)
553 = prime(4)*prime(22)
559 = prime(6)*prime(14)
611 = prime(6)*prime(15)
623 = prime(4)*prime(24)
637 = prime(4)^2*prime(6)
MATHEMATICA
Select[Range[2, 1000], And[OddQ[#], !PrimeQ[#], And@@Not/@PrimeQ/@PrimePi/@First/@FactorInteger[#]]&]
KEYWORD
nonn
AUTHOR
Gus Wiseman, Oct 18 2018
STATUS
approved