A089453 Sums of squares of primitive roots of primes.

1, 4, 13, 34, 153, 210, 680, 703, 2207, 2233, 3250, 5106, 6709, 8036, 20162, 20372, 21944, 29213, 35222, 39420, 56020, 61937, 97192, 100104, 100748, 132253, 134070, 135340, 201592, 205867, 207258, 328597, 334706, 348810, 372716, 383600, 493564

Offset

1,2

Comments

Terms were computed by Ed Pegg Jr; see link for related Mathematica code.

Links

Table of n, a(n) for n=1..37.

Ed Pegg Jr., The Moebius Function.

Example

a(5) = 153 = 2^2 + 6^2 + 7^2 + 8^2 = sum of squares of primitive roots of prime(5)(=11).
For the first 10 primes the primitive roots are as follows:
{{1}, {2}, {2, 3}, {3, 5}, {2, 6, 7, 8}, {2, 6, 7, 11}, {3, 5, 6, 7, 10, 11, 12, 14}, {2, 3, 10, 13, 14, 15}, {5, 7, 10, 11, 14, 15, 17, 19, 20, 21}, {2, 3, 8, 10, 11, 14, 15, 18, 19, 21, 26, 27}}.

Crossrefs

Sequence in context: A372768 A127981 A296303 * A057159 A189588 A266357

Adjacent sequences: A089450 A089451 A089452 * A089454 A089455 A089456

Keyword

nonn

Author

Paul D. Hanna, Nov 03 2003

Status

approved