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

 

Logo

Annual Appeal: Please make a donation to keep the OEIS running. In 2018 we replaced the server with a faster one, added 20000 new sequences, and reached 7000 citations (often saying "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A092219 Least even k such that the Euler number E(k) is divisible by prime(n), or 0 if there is no k. 3
0, 0, 4, 0, 0, 12, 16, 10, 0, 28, 22, 36, 40, 12, 14, 52, 0, 6, 26, 28, 72, 18, 0, 88, 96, 62, 0, 0, 108, 112, 0, 0, 42, 128, 146, 0, 156, 0, 0, 172, 0, 180, 0, 74, 196, 0, 0, 132, 0, 228, 232, 0, 210, 126, 256, 212, 268, 0, 8, 280, 0, 292, 90, 86, 312, 316, 0, 336, 0, 18, 70 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

A prime p will either divide an Euler number E(k) for k < p or divide no Euler number. This sequence can be used to find A092218, primes that divide Euler numbers and A092217, primes that divide no Euler number.

LINKS

T. D. Noe, Table of n, a(n) for n = 1..850

S. S. Wagstaff, Jr., Prime divisors of the Bernoulli and Euler numbers

Eric Weisstein's World of Mathematics, Euler Number

MATHEMATICA

ee=Table[Abs[EulerE[2i]], {i, 500}]; Table[p=Prime[n]; i=1; While[i<=p && Mod[ee[[i]], p]>0, i++ ]; If[i>p, 0, 2i], {n, PrimePi[500]}]

CROSSREFS

Cf. A000364 (Euler numbers).

Sequence in context: A035539 A178517 A049207 * A262227 A069026 A133851

Adjacent sequences:  A092216 A092217 A092218 * A092220 A092221 A092222

KEYWORD

nonn

AUTHOR

T. D. Noe, Feb 25 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 December 13 20:06 EST 2018. Contains 318087 sequences. (Running on oeis4.)