login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A275148 Numbers m where the least natural number k such that m + k^2 is prime reaches a new record value. 2
1, 3, 5, 24, 26, 29, 41, 290, 314, 626, 1784, 6041, 7556, 7589, 8876, 26171, 52454, 153089, 159731, 218084, 576239, 1478531, 2677289, 2934539, 3085781, 3569114, 3802301, 4692866, 24307841, 25051934, 54168539 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Position of records in A085099.
On the Bunyakovsky conjecture A085099(n) exists for each n and hence this sequence is infinite since A085099 is unbounded.
LINKS
Charles R Greathouse IV, Table of n, a(n) for n = 1..40
EXAMPLE
26 + 9^2 is prime, and 26 + 1^2, 26 + 2^2, ..., 26 + 8^2 are all composite; numbers 1..25 all have some square less than 9^2 for which the sum is prime, so 26 is in this sequence. The first few primes generated by these terms are as follows:
1 + 1^2 = 2
3 + 2^2 = 7
5 + 6^2 = 41
24 + 7^2 = 73
26 + 9^2 = 107
29 + 12^2 = 173
41 + 24^2 = 617
290 + 27^2 = 1019
314 + 45^2 = 2339
626 + 69^2 = 5387
1784 + 93^2 = 10433
6041 + 114^2 = 19037
PROG
(PARI) A085099(n)=my(k); while(!isprime(k++^2+n), ); k
r=0; for(n=1, 1e9, t=A085099(n); if(t>r, r=t; print1(n", ")))
CROSSREFS
Cf. A085099.
Sequence in context: A050280 A005761 A200948 * A336425 A230985 A286427
KEYWORD
nonn
AUTHOR
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 24 14:23 EDT 2024. Contains 371960 sequences. (Running on oeis4.)