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A038691 Prime race 4k-1 vs. 4k+1 is tied at n-th prime. 12
1, 3, 7, 13, 89, 2943, 2945, 2947, 2949, 2951, 2953, 50371, 50375, 50377, 50379, 50381, 50393, 50413, 50423, 50425, 50427, 50429, 50431, 50433, 50435, 50437, 50439, 50445, 50449, 50451, 50503, 50507, 50515, 50517, 50821, 50843, 50853 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

Stan Wagon, The Power of Visualization, Front Range Press, 1994, pp. 2-3.

LINKS

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

Eric Weisstein's World of Mathematics, Chebyshev Bias

MATHEMATICA

Flatten[ Position[ FoldList[ Plus, 0, Mod[ Prime[ Range[ 2, 50900 ] ], 4 ]-2 ], 0 ] ]

PROG

(PARI) lista(nn) = {nbp = 0; nbm = 0; forprime(p=2, nn, if (((p-1) % 4) == 0, nbp++, if (((p+1) % 4) == 0, nbm++)); if (nbm == nbp, print1(primepi(p), ", ")); ); } \\ Michel Marcus, Nov 20 2016

CROSSREFS

Cf. A002145, A002313, A007350, A007351, A038698.

Cf. A156749 Sequence showing Chebyshev bias in prime races (mod 4). - Daniel Forgues, Mar 26 2009

Sequence in context: A028491 A137474 A071087 * A237890 A082718 A221211

Adjacent sequences:  A038688 A038689 A038690 * A038692 A038693 A038694

KEYWORD

nonn

AUTHOR

Hans Havermann

STATUS

approved

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Last modified March 23 04:16 EDT 2017. Contains 283902 sequences.