login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A096703 Balanced primes of order eleven. 16
173, 353, 631, 827, 3329, 4723, 13693, 17789, 20947, 21059, 21503, 23563, 23599, 27751, 29759, 35419, 36781, 37991, 44939, 52021, 57163, 57269, 57719, 59663, 68713, 70529, 70879, 71399, 75541, 76949, 78301, 79621, 94399, 101929, 104759 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Muniru A Asiru, Table of n, a(n) for n = 1..5000

EXAMPLE

173 is a member because 173 = (109 + 113 + 127 + 131 + 137 + 139 + 149 + 151 + 157 + 163 + 167 + 173 + 179 + 181 + 191 + 193 + 197 + 199 + 211 + 223 + 227 + 229 + 233)/23 = 3979/23.

MAPLE

P:=proc(q) local n; for n from 12 to q do

if add(ithprime(n-k), k=-11..11)=23*ithprime(n) then print(ithprime(n));

fi; od; end: P(10^6); # Paolo P. Lava, Mar 17 2014

MATHEMATICA

Transpose[ Select[ Partition[ Prime[ Range[10000]], 23, 1], #[[12]] == (#[[1]] + #[[2]] + #[[3]] + #[[4]] + #[[5]] + #[[6]] + #[[7]] + #[[8]] + #[[9]] + #[[10]] + #[[11]] + #[[13]] + #[[14]] + #[[15]] + #[[16]] + #[[17]] + #[[18]] + #[[19]] + #[[20]] + #[[21]] + #[[22]] + #[[23]])/22 &]][[12]]

Transpose[Select[Partition[Prime[Range[11000]], 23, 1], Mean[#] == #[[12]]&]][[12]] (* Harvey P. Dale, Nov 06 2011 *)

PROG

(GAP) P:=Filtered([1..150000], IsPrime);;

a:=List(Filtered(List([0..12000], k->List([1..23], j->P[j+k])), i->Sum(i)/23=i[12]), m->m[12]); # Muniru A Asiru, Mar 04 2018

CROSSREFS

Cf. A096693, A006562, A082077, A082078, A082079, A096697, A096698, A096699, A096700, A096701, A096702, A096704.

Sequence in context: A142206 A142004 A047986 * A060332 A142022 A130338

Adjacent sequences:  A096700 A096701 A096702 * A096704 A096705 A096706

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Jun 26 2004

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 February 20 17:04 EST 2020. Contains 332080 sequences. (Running on oeis4.)