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A002972 a(n) is the odd member of {x,y}, where x^2+y^2 is the n-th prime of the form 4i+1.
(Formerly M2221)
+0
4
1, 3, 1, 5, 1, 5, 7, 5, 3, 5, 9, 1, 3, 7, 11, 7, 11, 13, 9, 7, 1, 15, 13, 15, 1, 13, 9, 5, 17, 13, 11, 9, 5, 17, 7, 17, 19, 1, 3, 15, 17, 7, 21, 19, 5, 11, 21, 19, 13, 1, 23, 5, 17, 19, 25, 13, 25, 23, 1, 5, 15, 27, 9, 19, 25, 17, 11, 5, 25, 27, 23, 29, 29, 25, 23, 19, 29, 13, 31, 31 (list; graph; listen)
OFFSET

1,2

REFERENCES

E. Kogbetliantz and A. Krikorian, Handbook of First Complex Prime Numbers, Gordon and Breach, NY, 1971, p. 243.

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

S. R. Finch, Powers of Euler's q-Series, (arXiv:math.NT/0701251).

EXAMPLE

The 2nd prime of the form 4i+1 is 13=2^2+3^2, so a(2)=3.

CROSSREFS

Cf. A002144, A002973.

Sequence in context: A114567 A001051 A046730 this_sequence A029652 A129510 A087913

Adjacent sequences: A002969 A002970 A002971 this_sequence A002973 A002974 A002975

KEYWORD

nonn

AUTHOR

njas

EXTENSIONS

Better description from Jud McCranie (j.mccranie(AT)comcast.net), Mar 05 2003

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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