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!)
A152472 Largest primes of 'a' consecutive primes whose sum is a prime in A152471. 2
3, 17, 47, 101, 163, 179, 439, 757, 773, 953, 1621, 2251, 3067, 3251, 4391, 4801, 4969, 5101, 5431, 5783, 5861, 5953, 6269, 6863, 7643, 8179, 9103, 9497, 9781, 10103, 10607, 11083, 11503, 12487, 15331, 15959, 18233, 18617, 19447, 19861, 20719 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

2+3=5(prime);start from 2, sum of two consecutive primes is prime; 5+7+11+13+17=53(prime);start from 5, sum of five consecutive primes is prime; 11+13+17+19+23+29+31+37+41+43+47=311(prime);start from 11, sum of eleven consecutive primes is prime; 19+23+29+31+37+41+43+47+53+59+61+67+71+73+79+83+89+97+101=1103(prime);start from 19, sum of 19 consecutive primes is prime;

LINKS

Table of n, a(n) for n=1..41.

MATHEMATICA

lst={}; Do[s=0; Do[p=Prime[n]; If[s==0, p0=p]; s+=p, {n, a, a+Prime[a]-1}]; If[PrimeQ[s], AppendTo[lst, p]], {a, 1, 6!}]; lst

CROSSREFS

Cf. A152471

Sequence in context: A091624 A106078 A087908 * A117012 A162291 A095697

Adjacent sequences:  A152469 A152470 A152471 * A152473 A152474 A152475

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Dec 05 2008

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 September 17 03:42 EDT 2021. Contains 347478 sequences. (Running on oeis4.)