

A033168


Longest arithmetic progression of primes with difference 210 and minimal initial term.


3




OFFSET

0,1


COMMENTS

Since 210 == 1 (mod 11), a progression of primes with difference 210 can't have more than ten terms because there is exactly one multiple of 11 within each run of eleven consecutive terms. For example, 2089 + 210 = 2299 = 11^2 * 19.  Alonso del Arte, Dec 22 2017, edited by M. F. Hasler, Jan 02 2020
After 199, the next prime which starts a CPAP10 with common gap 210 is 243051733. See A094220 for further starting points.  M. F. Hasler, Jan 02 2020


REFERENCES

Paul Glendinning, Math in Minutes: 200 Key Concepts Explained in an Instant. New York, London: Quercus (2013): 316  317.


LINKS

Table of n, a(n) for n=0..9.
Tanya Khovanova, Non Recursions
OEIS wiki, Primes in arithmetic progression.
Index entries for sequences related to primes in arithmetic progressions


FORMULA

a(n) = a(0) + n*210 for 0 <= n <= 9.  M. F. Hasler, Jan 02 2020


PROG

(PARI) forprime(p=1, , for(i=1, 9, isprime(p+i*210)next(2)); return([p+dd<[0..9]*210])) \\ M. F. Hasler, Jan 02 2020


CROSSREFS

Row 10 of A086786, A113470, A133276, A133277.
Sequence in context: A004926 A004946 A157955 * A227283 A269325 A227284
Adjacent sequences: A033165 A033166 A033167 * A033169 A033170 A033171


KEYWORD

nonn,fini,full


AUTHOR

Manuel Valdivia, Apr 22 1998


STATUS

approved



