login
A113398
How many times did the value of k appear at the previous primes including the n-th one? (Prime(n+1))^2-(Prime(n))^2 = a+k*(Prime(n+1)) if a is element of {0,1,...,Prime(n+1)-1}.
0
1, 1, 2, 1, 3, 1, 4, 2, 1, 5, 1, 3, 6, 4, 2, 3, 7, 4, 5, 8, 5, 6, 6, 1, 7, 9, 8, 10, 9, 1, 10, 7, 11, 1, 12, 8, 9, 11, 10, 11, 13, 2, 14, 12, 15, 1, 2, 13, 16, 14, 12, 17, 3
OFFSET
1,3
EXAMPLE
3^2-2^2 = 2+1*3 (first "1"); 5^2-3^2 = 1+3*5 (first "3"); 7^2-5^2 = 3+3*7 (2nd "3");
11^2-7^2 = 6+6*11 (first "6"); 13^2-11^2 = 9+3*13 (3rd "3"); etc.
CROSSREFS
Sequence in context: A088242 A228814 A299483 * A210959 A319848 A364749
KEYWORD
nonn
AUTHOR
Marian Kraus, Oct 26 2005
STATUS
approved