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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

%I #3 Mar 02 2015 16:08:49

%S 1,14,114,675,2610,6576,14616,27423,65758,121590,200250,354600,481740,

%T 636111,972946,1543438,2052330,2654850,3609375,4292820,5326308,

%U 6902883,8780068,12023616,15516000,17510850,19669731,22045986,24606288

%N 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.

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

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

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

%Y Cf. A002417, A076430.

%K nonn

%O 1,2

%A _Floor van Lamoen_, Oct 10 2002

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)