login
A077281
Square root of sum of successive primes in n-th group in A077280.
4
10, 283, 497, 850, 222, 11035, 9282, 33056, 390393
OFFSET
1,1
COMMENTS
Partition of sequence of primes in groups such that sum of terms in each group is a square: {2-23}, {29-1021}, {1031-2179}, {2203-4051}, {4057-4153}, {4157-50377}, {50383-66643}, {66653-173647},{173651-2076913},{2076917-?},...; A077280(n) gives the number of terms in n-th group; A077281(n)^2 gives the sum of terms in n-th group; A077282(n) gives the first term in n-th group; A077283(n) gives the last term in n-th group.
EXAMPLE
a(1)=10 because sum of first nine primes 2+...+23=100=10^2; a(2)=283 because sum of next 163 successive primes 29+...+1021=80089=283^2.
CROSSREFS
KEYWORD
nonn
AUTHOR
Zak Seidov, Nov 02 2002
EXTENSIONS
a(9) from Zak Seidov, Sep 28 2011
STATUS
approved