A076429 Sum of numbers that cannot be written as t*p_n + u*p_{n+1} for nonnegative integers t,u, where p_n is the n-th prime.

1, 14, 114, 675, 2610, 6576, 14616, 27423, 65758, 121590, 200250, 354600, 481740, 636111, 972946, 1543438, 2052330, 2654850, 3609375, 4292820, 5326308, 6902883, 8780068, 12023616, 15516000, 17510850, 19669731, 22045986, 24606288

Offset

1,2

References

Fred. Schuh, Vragen betreffende een onbepaalde vergelijking, Nieuw Tijdschrift voor Wiskunde, 52 (1964-1965) 193-198.

Links

Table of n, a(n) for n=1..29.

Formula

(p_n-1)*(p_{n+1}-1)*(2*p_n*p_{n+1}-p_n-p_{n+1}-1)/12

Maple

seq((ithprime(n)-1)*(ithprime(n+1)-1)*(2*ithprime(n)*ithprime(n+1)-ithprime(n)-ithprime(n+1)-1)/12, n=1..40);

Crossrefs

Cf. A002417, A076430.

Sequence in context: A199251 A199196 A071573 * A027204 A200037 A026959

Adjacent sequences: A076426 A076427 A076428 * A076430 A076431 A076432

Keyword

nonn

Author

Floor van Lamoen, Oct 10 2002

Status

approved