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A077281 Square root of sum of successive primes in n-th group in A077280. 4
10, 283, 497, 850, 222, 11035, 9282, 33056, 390393 (list; graph; refs; listen; history; internal format)
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

Cf. A077280, A077282, A077283.

Sequence in context: A025035 A012243 A186270 * A049387 A024295 A159960

Adjacent sequences:  A077278 A077279 A077280 * A077282 A077283 A077284

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Nov 02 2002

EXTENSIONS

a(9) from Zak Seidov (zakseidov(AT)yahoo.com), Sep 28 2011

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.