The On-Line Encyclopedia of Integer Sequences (OEIS)

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A136294

Primes of the form a^a + b^b + c^c + d^d + e^e + f^f.
(history; published version)

#6 by Charles R Greathouse IV at Mon May 13 01:54:09 EDT 2013

LINKS

A136294 _Charles R Greathouse IV_, , <a href="/A136294/b136294.txt">Table of n, a(n) for n = 1..10000</a>

Discussion

Mon May 13

01:54

OEIS Server: https://oeis.org/edit/global/1915

#5 by Charles R Greathouse IV at Mon May 13 01:48:45 EDT 2013

LINKS

A136294 _Charles R Greathouse IV, _, <a href="/A136294/b136294.txt">Table of n, a(n) for n = 1..10000</a>

PROG

(PARI) v=[]; for(a=1, 30, for(b=1, a, for(c=1, b, for(d=1, c, for(e=1, d, for(f=1, e, if(ispseudoprime(t=a^a+b^b+c^c+d^d+e^e+f^f), v=concat(v, t)))))))); #v \\ _Charles R Greathouse IV, _, Feb 15 2011

Discussion

Mon May 13

01:48

OEIS Server: https://oeis.org/edit/global/1914

#4 by Russ Cox at Fri Mar 30 18:40:44 EDT 2012

AUTHOR

_Jonathan Vos Post (jvospost3(AT)gmail.com), _, Apr 11 2008

Discussion

Fri Mar 30

18:40

OEIS Server: https://oeis.org/edit/global/228

#3 by Charles R Greathouse IV at Tue Feb 15 10:17:03 EST 2011

STATUS

proposed

approved

#2 by Charles R Greathouse IV at Tue Feb 15 10:16:47 EST 2011

DATA

41, 47, 61, 67, 113, 139, 293, 313, 571, 797, 823, 1307, 3191, 3391, 3463, 3643, 3947, 4153, 6257, 6263, 6793, 7019, 9433, 12757, 15629, 15881, 46687, 46919, 46997, 47681, 49811, 49843, 50069, 50321, 53419, 56039, 56543, 59183, 93319, 93371

LINKS

A136294 Charles R Greathouse IV, <a href="/A136294/b136294.txt">Table of n, a(n) for n = 1..10000</a>

PROG

(PARI) v=[]; for(a=1, 30, for(b=1, a, for(c=1, b, for(d=1, c, for(e=1, d, for(f=1, e, if(ispseudoprime(t=a^a+b^b+c^c+d^d+e^e+f^f), v=concat(v, t)))))))); #v \\ Charles R Greathouse IV, Feb 15 2011

CROSSREFS

Cf. A000040, A000312, A068145, A133664, the seq submitted a few minutes ago "Primes of the form a^a + b^b + c^c + d^d + e^e".

Cf. A000040, A000312, A068145, A133664, A136292

STATUS

approved

proposed

#1 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

NAME

Primes of the form a^a + b^b + c^c + d^d + e^e + f^f.

DATA

OFFSET

1,1

FORMULA

A000040 INTERSECTION {A000312(a) + A000312(b) + A000312(c) + A000312(d) + A000312(e) + A000312(f)}.

EXAMPLE

a(1) = 41 = 1^1 + 1^1 + 2^2 + 2^2 + 2^2 + 3^3.

a(2) = 47 = 2^2 + 2^2 + 2^2 + 2^2 + 2^2 + 3^3.

a(3) = 61 = 1^1 + 1^1 + 1^1 + 2^2 + 3^3 + 3^3.

a(4) = 67 = 1^1 + 2^2 + 2^2 + 2^2 + 3^3 + 3^3.

a(5) = 113 = 1^1 + 2^2 + 3^3 + 3^3 + 3^3 + 3^3.

MATHEMATICA

Select[Union[ Flatten[Table[ a^a + b^b + c^c + d^d + e^e + f^f, {a, 1, 20}, {b, 1, a}, {c, 1, b}, {d, 1, c}, {e, 1, d}, {f, 1, e}]]], PrimeQ]

CROSSREFS

Cf. A000040, A000312, A068145, A133664, the seq submitted a few minutes ago "Primes of the form a^a + b^b + c^c + d^d + e^e".

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), Apr 11 2008

STATUS

approved