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A033168 Longest arithmetic progression of primes with difference 210 and minimal initial term. 3
199, 409, 619, 829, 1039, 1249, 1459, 1669, 1879, 2089 (list; graph; refs; listen; history; text; internal format)
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 CPAP-10 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+d|d<-[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

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Last modified February 20 13:20 EST 2020. Contains 332077 sequences. (Running on oeis4.)