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A088919 Smallest number having exactly n representations as sum of two squares of distinct primes. 2
1, 13, 410, 2210, 10370, 202130, 229970, 197210, 81770, 18423410, 16046810, 12625730, 21899930, 9549410, 370247930, 416392730, 579994610, 338609570, 2155919090, 601741010, 254885930, 10083683090, 4690939370, 29207671610 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

A088918(a(n)) = n and A088918(k) <> n for k<a(n).

No terms after a(13) are smaller than 99000000. - John W. Layman (layman(AT)math.vt.edu), Jan 20 2004

LINKS

Donovan Johnson, Table of n, a(n) for n = 0..33 (terms < 10^12)

Index entries for sequences related to sums of squares

EXAMPLE

a(2) = 410 = 7^2+19^2 = 11^2+17^2;

a(3) = 2210 = 19^2+43^2 = 23^2+41^2 = 29^2+37^2;

a(4) = 10370 = 13^2+101^2 = 31^2+97^2 = 59^2+83^2 = 71^2+73^2;

a(5) = 202130 = 23^2+449^2 = 97^2+439^2 = 163^2+419^2 = 211^2+397^2 = 251^2+373^2;

a(6) = 229970 = 23^2+479^2 = 109^2+467^2 = 193^2+439^2 = 263^2+401^2 = 269^2+397^2 = 331^2+347^2;

a(7) = 197210 = 31^2+443^2 = 67^2+439^2 = 107^2+431^2 = 173^2+409^2 = 199^2+397^2 = 241^2+373^2 = 311^2+317^2;

a(8) = 81770 = 41^2+283^2 = 53^2+281^2 = 71^2+277^2 = 97^2+269^2 = 137^2+251^2 = 157^2+239^2 = 179^2+223^2 = 193^2+211^2.

CROSSREFS

Sequence in context: A069876 A126086 A055203 * A201537 A142484 A087872

Adjacent sequences:  A088916 A088917 A088918 * A088920 A088921 A088922

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 23 2003

EXTENSIONS

More terms from John W. Layman (layman(AT)math.vt.edu), Jan 20 2004

a(14)-a(23) from Donovan Johnson (donovan.johnson(AT)yahoo.com), May 08 2010

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Last modified February 14 10:09 EST 2012. Contains 205614 sequences.