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!)
A119740 Primes p such that p+1, p+2, p+3, p+4, p+5 and p+6 have equal number of divisors. 4
298693, 346501, 1841141, 2192933, 2861461, 3106981, 3375781, 3435589, 3437813, 3865429, 4597013, 6191461, 7016213, 7074901, 7637941, 7918373, 9196309, 10216901, 12798901, 13747429, 14100661, 14171653, 14770981, 14779189 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

EXAMPLE

298693 is a term since 298694, 298695, 298696, 298697, 298698 and 298699 all have 8 divisors:

{1,2,11,22,13577,27154,149347,298694}, {1,3,5,15,19913,59739,99565,298695},

{1,2,4,8,37337,74674,149348,298696}, {1,7,71,497,601,4207,42671,298697},

{1,2,3,6,49783,99566,149349,298698}, {1,19,79,199,1501,3781,15721,298699}.

MATHEMATICA

Select[Prime@Range[1000000], DivisorSigma[0, #+1]==DivisorSigma[0, #+2]==DivisorSigma[0, #+3]==DivisorSigma[0, #+4]==DivisorSigma[0, #+5]==DivisorSigma[0, #+6]&]

CROSSREFS

Cf. A008329, A049234, A119705, A119711, A119728, A119730.

Sequence in context: A204334 A048906 A251334 * A254193 A254186 A253798

Adjacent sequences:  A119737 A119738 A119739 * A119741 A119742 A119743

KEYWORD

nonn

AUTHOR

Zak Seidov, Jul 29 2006

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 October 27 18:34 EDT 2020. Contains 338035 sequences. (Running on oeis4.)