|
|
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
|
|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
REFERENCES
|
Fred. Schuh, Vragen betreffende een onbepaalde vergelijking, Nieuw Tijdschrift voor Wiskunde, 52 (1964-1965) 193-198.
|
|
LINKS
|
|
|
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
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|