This site is supported by donations to The OEIS Foundation.



(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A201063 Initial primes in prime quintuplets (p, p+4, p+6, p+10, p+12) preceding the maximal gaps in A201062. 3
7, 97, 3457, 5647, 19417, 43777, 101107, 1621717, 3690517, 5425747, 8799607, 9511417, 16388917, 22678417, 31875577, 37162117, 64210117, 119732017, 200271517, 203169007, 241307107, 342235627, 367358347, 378200227 (list; graph; refs; listen; history; text; internal format)



Prime quintuplets (p, p+4, p+6, p+10, p+12) are one of the two types of densest permissible constellations of 5 primes. Maximal gaps between quintuplets of this type are listed in A201062; see more comments there.


Hardy, G. H. and Littlewood, J. E. "Some Problems of 'Partitio Numerorum.' III. On the Expression of a Number as a Sum of Primes." Acta Math. 44, 1-70, 1923.


Alexei Kourbatov, Table of n, a(n) for n = 1..71

Tony Forbes, Prime k-tuplets

Alexei Kourbatov, Maximal gaps between prime quintuplets (graphs/data up to 10^15)

Eric W. Weisstein, k-Tuple Conjecture


The gap of 90 between quintuplets starting at p=7 and p=97 is the very first gap, so a(1)=7. The gap of 1770 between quintuplets starting at p=97 and p=1867 is a maximal gap - larger than any preceding gap; therefore a(2)=97. The gap after p=1867 is smaller, so a new term is not added.


Cf. A022007 (prime quintuplets p, p+4, p+6, p+10, p+12), A201062, A233433.

Sequence in context: A174315 A046908 A005014 * A157035 A022008 A200504

Adjacent sequences:  A201060 A201061 A201062 * A201064 A201065 A201066




Alexei Kourbatov, Nov 26 2011



Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified January 21 18:37 EST 2017. Contains 281109 sequences.