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A077257
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Differences between two successive prime powers of prime numbers (A076707) in more than one way.
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2
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4, 168, 312, 600, 768, 792, 912, 1848, 2472, 3048, 3192, 3288, 3528, 3720, 4008, 4920, 5160, 5208, 5928, 6072, 6792, 6840, 6888, 7080, 7512, 7728, 7800, 8520, 8760, 10632, 11400, 11880, 11928, 12792, 13200, 13440, 13560, 14280, 14640, 15960
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| 4 = 8-4 & 125-121, 168 = 529-361 & 1849-1681, 312 = 841-529 & 1681-1369. Interesting the 529 is a member of the last two examples. 6888 is the first one to be represented just three ways. 4920 is the first one to be represented four ways.
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MATHEMATICA
| pp = Sort[ Flatten[ Table[ Prime[n]^Prime[i], {n, 1, PrimePi[ Sqrt[10^16]]}, {i, 1, PrimePi[ Floor[ Log[ Prime[n], 10^16]]]}]]]; l = Length[pp]; b = Sort[ Take[pp, -l + 1] - Take[pp, l - 1]]; Union[ b[[ Select[ Range[355], b[[ # ]] == b[[ # + 1]] &]]]]
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CROSSREFS
| Cf. A053810, A075308, A076707, A077258.
Sequence in context: A125532 A185857 A159011 * A024265 A061710 A177005
Adjacent sequences: A077254 A077255 A077256 * A077258 A077259 A077260
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KEYWORD
| nonn
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AUTHOR
| Zak Seidov (zakseidov(AT)yahoo.com) and Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 31 2002
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