%I #7 Dec 29 2023 10:39:58

%S 4,54,1250,9604,146410,399854,2004504,3909630,12313004,49509670,

%T 73881680,213654354,395606540,526495354,897861304,1846372554,

%U 3514034690,4292210710,7536519254,10672906020,12608819004,20254042120,27241076254

%N a(n) = ((n-th prime)^6-(n-th prime)^4)/12.

%C Differences (p^k-p^m)/q such that k > m:

%C p^2-p is given in A036689

%C (p^2-p)/2 is given in A008837

%C p^3-p is given in A127917

%C (p^3-p)/2 is given in A127918

%C (p^3-p)/3 is given in A127919

%C (p^3-p)/6 is given in A127920

%C p^3-p^2 is given in A135177

%C (p^3-p^2)/2 is given in A138416

%C p^4-p is given in A138401

%C (p^4-p)/2 is given in A138417

%C p^4-p^2 is given in A138402

%C (p^4-p^2)/2 is given in A138418

%C (p^4-p^2)/3 is given in A138419

%C (p^4-p^2)/4 is given in A138420

%C (p^4-p^2)/6 is given in A138421

%C (p^4-p^2)/12 is given in A138422

%C p^4-p^3 is given in A138403

%C (p^4-p^3)/2 is given in A138423

%C p^5-p is given in A138404

%C (p^5-p)/2 is given in A138424

%C (p^5-p)/3 is given in A138425

%C (p^5-p)/5 is given in A138426

%C (p^5-p)/6 is given in A138427

%C (p^5-p)/10 is given in A138428

%C (p^5-p)/15 is given in A138429

%C (p^5-p)/30 is given in A138430

%C p^5-p^2 is given in A138405

%C (p^5-p^2)/2 is given in A138431

%C p^5-p^3 is given in A138406

%C (p^5-p^3)/2 is given in A138432

%C (p^5-p^3)/3 is given in A138433

%C (p^5-p^3)/4 is given in A138434

%C (p^5-p^3)/6 is given in A138435

%C (p^5-p^3)/8 is given in A138436

%C (p^5-p^3)/12 is given in A138437

%C (p^5-p^3)/24 is given in A138438

%C p^5-p^4 is given in A138407

%C (p^5-p^4)/2 is given in A138439

%C p^6-p is given in A138408

%C (p^6-p)/2 is given in A138440

%C p^6-p^2 is given in A138409

%C (p^6-p^2)/2 is given in A138441

%C (p^6-p^2)/3 is given in A138442

%C (p^6-p^2)/4 is given in A138443

%C (p^6-p^2)/5 is given in A138444

%C (p^6-p^2)/6 is given in A138445

%C (p^6-p^2)/10 is given in A138446

%C (p^6-p^2)/12 is given in A138447

%C (p^6-p^2)/15 is given in A138448

%C (p^6-p^2)/20 is given in A122220

%C (p^6-p^2)/30 is given in A138450

%C (p^6-p^2)/60 is given in A138451

%C p^6-p^3 is given in A138410

%C (p^6-p^3)/2 is given in A138452

%C p^6-p^4 is given in A138411

%C (p^6-p^4)/2 is given in A138453

%C (p^6-p^4)/3 is given in A138454

%C (p^6-p^4)/4 is given in A138455

%C (p^6-p^4)/6 is given in A138456

%C (p^6-p^4)/8 is given in A138457

%C (p^6-p^4)/12 is given in A138458

%C (p^6-p^4)/24 is given in A138459

%C p^6-p^5 is given in A138412

%C (p^6-p^5)/2 is given in A138460

%t a = {}; Do[p = Prime[n]; AppendTo[a, (p^6 - p^4)/12], {n, 1, 24}]; a

%o (PARI) forprime(p=2,1e3,print1((p^6-p^4)/12", ")) \\ _Charles R Greathouse IV_, Jul 15 2011

%K nonn,easy

%O 1,1

%A _Artur Jasinski_, Mar 22 2008