login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A176649 Primes p = k^13 + m^13 + n^13 with nonnegative integer bases k, m, n. 0
2, 3, 135812051, 1223891771, 1287820181, 2441406251, 13062296531, 96890604731, 2541865828331, 10000068703187, 34535772846139, 34620821857463, 69142313298269, 106993206981587, 106994426090389, 107007486776213 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Necessarily (I) two bases are even and one is odd or (II) all bases are odd.

2 = 1^13 + 1^13 is the only 2-item term of sequence because with an odd exponent e a^e + b^e has the divisor a+b.

List of (k,m,n): (0,1,1) (1,1,1) (3,4,4) (3,3,5) (2,4,5) (1,5,5) (2,3,6) (1,3,7) (1,1,9) (3,4,10) (2,6,11) (5,7,11) (7,11,11) (2,3,12) (2,5,12) (5,6,12) (4,6,13) (8,8,13) (4,12,13) (4,11,14) (6,11,14) (5,12,14) (11,12,14) (3,14,14) (2,2,15) (1,3,15) (2,6,15) (14,14,15) (7,15,15) (1,6,16) (2,13,16) (2,4,17) (3,9,17) (5,9,17) (1,11,17) (2,12,17) (6,14,17) (11,12,18) (10,13,18) (14,15,18) (11,18,18) (1,3,19) (4,8,19) (3,9,19) (7,11,19) (14,14,19) (3,15,19) (7,15,19) (12,15,20) (11,16,20)

LINKS

Table of n, a(n) for n=1..16.

EXAMPLE

3^13 + 3^13 + 4^13 = 135812051 = prime(7688710), 3rd term.

3^13 + 3^13 + 5^13 = 1223891771 = prime(61596945), 4th term, smallest with 3 prime bases.

5^13 + 7^13 + 11^13 = 34620821857463, 12th term, the smallest with 3 different prime bases.

CROSSREFS

Cf. A000040, A001022.

Sequence in context: A120313 A216981 A307255 * A216979 A082871 A321406

Adjacent sequences:  A176646 A176647 A176648 * A176650 A176651 A176652

KEYWORD

nonn

AUTHOR

Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), Apr 22 2010

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 14 16:38 EST 2019. Contains 329979 sequences. (Running on oeis4.)