|
Search: id:A076707
|
|
|
| A076707 |
|
Ordered differences without repetitions between two successive prime powers of prime numbers. |
|
+0
3
|
|
| 1, 2, 3, 4, 5, 10, 12, 16, 17, 18, 30, 38, 41, 46, 54, 72, 74, 94, 120, 128, 138, 139, 168, 186, 199, 240, 248, 250, 260, 271, 286, 288, 312, 316, 354, 356, 370, 408, 424, 432, 496, 546, 552, 582, 600, 602, 618, 678, 720, 768, 792, 836, 840, 876, 890, 894, 912
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Several entries are represented by at least two differences: 4 (which equals 8-4 & 125-121), 168, 312, 600, 768, 792, 912, 1848, 2472, etc.
|
|
EXAMPLE
|
250 = 161051 - 160801 = 11^5 - 401^2.
|
|
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 = Take[pp, -l + 1] - Take[pp, l - 1]; Take[ Union[a], 57]
|
|
CROSSREFS
|
Cf. A053810, A075308, A077257, A077258.
Sequence in context: A032983 A117360 A074821 this_sequence A032940 A064419 A032543
Adjacent sequences: A076704 A076705 A076706 this_sequence A076708 A076709 A076710
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Zak Seidov (zakseidov(AT)yahoo.com), Oct 26 2002
|
|
EXTENSIONS
|
Edited and corrected by Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 31 2002
|
|
|
Search completed in 0.002 seconds
|
