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A123722 Values of n for which A000224(n)=Ceiling[(n+1)/3]; A000224(n) is the number of squares mod n. +0
3
1, 3, 4, 8, 9, 15, 21, 33, 35, 39, 51, 57, 69, 70, 87, 93, 111, 123, 129, 141, 159, 177, 183, 201, 213, 219, 237, 249, 267, 291, 303, 309, 321, 327, 339, 381, 393, 411, 417, 447, 453, 471, 489, 501, 519, 537, 543, 573, 579, 591, 597, 633, 669, 681, 687, 699, 717 (list; graph; listen)
OFFSET

1,2

COMMENT

Conjecture. If n>2 and a(n) is a multiple of 3, then a(n)/3 is a prime; further, all odd primes are given as a(n)/3 for some n. (This has been verified up to n=2000.)

CROSSREFS

Cf. A000224, A123723.

Sequence in context: A046974 A135276 A058074 this_sequence A096185 A137640 A165362

Adjacent sequences: A123719 A123720 A123721 this_sequence A123723 A123724 A123725

KEYWORD

nonn

AUTHOR

John W. Layman (layman(AT)math.vt.edu), Oct 09 2006

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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