The On-Line Encyclopedia of Integer Sequences (OEIS)

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A217566

The only prime p such that 4a < p < 4b where a, b are consecutive primes.
(history; published version)

#14 by M. F. Hasler at Mon Oct 08 08:53:32 EDT 2012

STATUS

editing

approved

#13 by M. F. Hasler at Mon Oct 08 08:51:31 EDT 2012

NAME

The only prime p such that 4r 4a < p < 4s 4b where r, s a, b are consecutive primes.

STATUS

approved

editing

Discussion

Mon Oct 08

08:53

M. F. Hasler: (Putting back a,b in the name, although strongly depreciated for primes, to remain consistent with COMMENTS and PROGRAM.)

#12 by M. F. Hasler at Mon Oct 08 08:20:05 EDT 2012

STATUS

editing

approved

#11 by M. F. Hasler at Mon Oct 08 08:19:58 EDT 2012

NAME

The only prime p such that k*a 4r < p < k*b 4s where a, b r, s are consecutive primes, case k = 4.

COMMENTS

4-isolated primes according to the classification given in the paper on link (see Section 10). - _Vladimir Shevelev, _, Oct 07 2012

STATUS

proposed

editing

#10 by Vladimir Shevelev at Sun Oct 07 04:56:54 EDT 2012

STATUS

editing

proposed

Discussion

Mon Oct 08

08:18

M. F. Hasler: If you use ~~~~ to sign the comment,  then your name will be linked appropriately. Please also follow full stops "." by a space.

#9 by Vladimir Shevelev at Sun Oct 07 04:56:47 EDT 2012

COMMENTS

4-isolated primes according to the classification of given in the paper on link (see Section 10).-Vladimir Shevelev, Oct 07 2012

STATUS

proposed

editing

#8 by Vladimir Shevelev at Sun Oct 07 04:16:16 EDT 2012

STATUS

editing

proposed

#7 by Vladimir Shevelev at Sun Oct 07 04:16:05 EDT 2012

COMMENTS

4-isolated primes according the classification of the paper on link.-Vladimir Shevelev, Oct 07 2012

LINKS

V. Shevelev, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL15/Shevelev/shevelev19.html">Ramanujan and Labos primes, their generalizations, and classifications of primes</a>, J. Integer Seq. 15 (2012) Article 12.5.4

STATUS

approved

editing

#6 by T. D. Noe at Sat Oct 06 23:49:28 EDT 2012

STATUS

editing

approved

#5 by T. D. Noe at Sat Oct 06 23:49:20 EDT 2012

NAME

The only prime p such that k*a < p < k*b where a, b are consecutive primes, case k = 4.

MATHEMATICA

a = 2; b = 3; s = {}; k = 4; Do[If[(p=NextPrime[k*a]) < k*b && NextPrime[p] > k*b, AppendTo[s, p]]; a = b; b = NextPrime[b], {100}]; s

CROSSREFS

Cf. A166251 (case k=2), A217561 (k=3).

STATUS

proposed

editing