|
%I #10 Jan 20 2014 11:05:34
%S 4,168,312,600,768,792,912,1848,2472,3048,3192,3288,3528,3720,4008,
%T 4920,5160,5208,5928,6072,6792,6840,6888,7080,7512,7728,7800,8520,
%U 8760,10632,11400,11880,11928,12792,13200,13440,13560,14280,14640,15960
%N Differences between two successive prime powers of prime numbers (A076707) in more than one way.
%e 4 = 8-4 = 125-121, 168 = 529-361 = 1849-1681, 312 = 841-529 = 1681-1369.
%e It is interesting that 529 is a member of the last two examples.
%e 6888 is the first one to be represented in just three ways.
%e 4920 is the first one to be represented in four ways.
%t 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]] &]]]]
%Y Cf. A053810, A075308, A076707, A077258.
%K nonn
%O 1,1
%A _Zak Seidov_ and _Robert G. Wilson v_, Oct 31 2002
|
