A138459 a(n) = ((n-th prime)^6-(n-th prime)^4)/12.

4, 54, 1250, 9604, 146410, 399854, 2004504, 3909630, 12313004, 49509670, 73881680, 213654354, 395606540, 526495354, 897861304, 1846372554, 3514034690, 4292210710, 7536519254, 10672906020, 12608819004, 20254042120, 27241076254

Offset: 1

Author

Artur Jasinski, Mar 22 2008

Keywords

• nonn
• easy

Comments

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

p^2-p is given in A036689

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

p^3-p is given in A127917

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

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

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

p^3-p^2 is given in A135177

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

p^4-p is given in A138401

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

p^4-p^2 is given in A138402

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

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

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

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

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

p^4-p^3 is given in A138403

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

p^5-p is given in A138404

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

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

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

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

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

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

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

p^5-p^2 is given in A138405

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

p^5-p^3 is given in A138406

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

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

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

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

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

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

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

p^5-p^4 is given in A138407

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

p^6-p is given in A138408

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

p^6-p^2 is given in A138409

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

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

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

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

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

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

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

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

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

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

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

p^6-p^3 is given in A138410

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

p^6-p^4 is given in A138411

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

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

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

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

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

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

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

p^6-p^5 is given in A138412

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

Programs

Mathematica

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

PARI

forprime(p=2,1e3,print1((p^6-p^4)/12", ")) \\ Charles R Greathouse IV, Jul 15 2011