The On-Line Encyclopedia of Integer Sequences (OEIS)

A222593 revision #8

A222593

Pairs of numbers (a,b) such that a + b*I is a first-quadrant Gaussian prime, ordered by a+b and then a.

1, 1, 0, 3, 1, 2, 2, 1, 3, 0, 1, 4, 2, 3, 3, 2, 4, 1, 0, 7, 1, 6, 2, 5, 5, 2, 6, 1, 7, 0, 2, 7, 4, 5, 5, 4, 7, 2, 0, 11, 1, 10, 3, 8, 5, 6, 6, 5, 8, 3, 10, 1, 11, 0, 3, 10, 4, 9, 5, 8, 8, 5, 9, 4, 10, 3, 1, 14, 2, 13, 4, 11, 7, 8, 8, 7, 11, 4, 13, 2, 14, 1

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OFFSET

1,4

COMMENTS

Gaussian primes on the positive real and imaginary axes are included. Note that the primes are ordered by their taxicab distance from the origin.

LINKS

T. D. Noe, Table of n, a(n) for n = 1..1662 (taxicab distance less than 100)

MATHEMATICA

nn = 20; t = {}; Do[If[PrimeQ[i + (j - i) I, GaussianIntegers -> True], AppendTo[t, {i, j-i}]], {j, 0, nn}, {i, 0, j}]; Flatten[t]

CROSSREFS

Cf. A218858, A218859 (number of Gaussian primes at taxicab distance n).

Sequence in context: A134658 A296518 A111951 * A107033 A115110 A066635

Adjacent sequences: A222590 A222591 A222592 * A222594 A222595 A222596

KEYWORD

nonn

AUTHOR

T. D. Noe, Feb 27 2013

STATUS

approved