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A087010 Number of primes of form 4n+1 between n and 2n (inclusive). 2
0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 10, 9, 10, 10, 10, 9, 9 (list; graph; refs; listen; history; internal format)
OFFSET

1,9

COMMENTS

Erdos proved that between any n > 7 and its double there are always at least two primes, one of form 4n+1 and one of form 4n+3.

REFERENCES

B. Schechter, "My Brain is Open: The Mathematical Journeys of Paul Erdos," Simon & Schuster, New York, 1998, p. 62.

CROSSREFS

Cf. A035250, A087011, A087012.

Sequence in context: A174664 A102300 A202146 * A098220 A133563 A104518

Adjacent sequences:  A087007 A087008 A087009 * A087011 A087012 A087013

KEYWORD

nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jul 30 2003

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Last modified February 14 17:05 EST 2012. Contains 205643 sequences.