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A089295
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Positions of the records in A089294. First integer requiring a larger prime in its representation by (signed) sums of squares of distinct primes than all preceding integers.
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1
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0, 643, 1172, 2013, 2974, 4343, 6024, 7873, 10082, 12891, 16372, 20093, 24582, 29623, 34952, 41193, 48082, 56003, 65412, 75613, 86222, 97671, 109552, 122321, 138450, 155611, 174380, 193701, 215902, 238703, 263352, 289921, 317810, 347739
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| a(2)=643 was first given by Robert B. Israel (israel(AT)math.ubc.edu).
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LINKS
| Robert B. Israel, Sum of unique prime squares? Posting in NG sci.math.
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EXAMPLE
| a(1)=0=19^2-17^2-11^2+7^2 (0 already requires 19)
a(2)=643=23^2+19^2-13^2-7^2-5^2-2^2 (requires 23)
a(3)=1172=29^2+23^2-13^2-5^2-2^2
a(4)=2013=31^2+29^2+17^2-7^2-5^2-2^2
a(5)=2974=37^2+29^2+23^2+17^2-7^2-3^2+2^2=37^2+31^2+23^2+13^2-7^2-3^2+2^2
(two representations with the same maximum term)
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CROSSREFS
| Cf. A089294.
Sequence in context: A206378 A135384 A061324 * A195808 A168626 A100873
Adjacent sequences: A089292 A089293 A089294 * A089296 A089297 A089298
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KEYWORD
| nonn
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AUTHOR
| W. Edwin Clark (eclark(AT)math.usf.edu) Nov 06 2003
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EXTENSIONS
| More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Aug 31 2005
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