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 A290967 Smallest known example of a 3 X 3 X 3 generalized arithmetic progression (GAP) of 27 primes, listed in increasing order. 1
 929, 3833, 4079, 6737, 6983, 7229, 8369, 9887, 10133, 11273, 11519, 13037, 14177, 14423, 14669, 15809, 17327, 17573, 18713, 18959, 20477, 21617, 21863, 22109, 24767, 25013, 27917 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 27 primes arranged in a 3 X 3 X 3 cube such that the differences between the numbers in the 3 coordinate directions are constants. The 3 constants are 2904, 3150, and 7440. The arrangement was found in an undergraduate project at Westfield State College by Jeffrey P. Vanasse and Michael E. Guenette, working under the direction of Mathematics Department faculty members Marcus Jaiclin and Julian F. Fleron. LINKS Hugo Pfoertner, Illustration of arrangement, copied from announcement of original authors. Westfield State College, Mathematics Students Make Prime Discovery, ScienceDaily, 18 November 2008. EXAMPLE :           -> +2904 -> :          +-----+-----+-----+ :      |   |  929| 3833| 6737|\ :    +3150 | 4079| 6983| 9887| \ :      V   | 7229|10133|13037|  \ :          +-----+-----+-----+   \ :       \   \   +-----+-----+-----+ :      +7440 \  | 8369|11273|14177|\ :         \   \ |11519|14423|17327| \   \ :              \|14669|17573|20477|  \ +7440 :               +-----+-----+-----+   \   \ :                \   +-----+-----+-----+ :                 \  |15809|18713|21617|   | :                  \ |18959|21863|24767| +3150 :                   \|22109|25013|27917|   V :                    +-----+-----+-----+ :                     -> +2904 -> MAPLE sort([seq(seq(seq(929+i*3150+k*2904+j*7440, k=0..2), i=0..2), j=0..2)])[]; # Alois P. Heinz, Aug 16 2017 CROSSREFS Cf. A005115. Sequence in context: A249535 A340957 A289727 * A109184 A219066 A068651 Adjacent sequences:  A290964 A290965 A290966 * A290968 A290969 A290970 KEYWORD nonn,fini,full AUTHOR Hugo Pfoertner, Aug 15 2017 STATUS approved

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Last modified January 17 06:12 EST 2022. Contains 350378 sequences. (Running on oeis4.)