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A033168
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Longest arithmetic progression of primes with difference 210 and minimal initial term.
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3
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OFFSET
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0,1
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COMMENTS
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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
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REFERENCES
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Paul Glendinning, Math in Minutes: 200 Key Concepts Explained in an Instant. New York, London: Quercus (2013): 316 - 317.
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LINKS
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FORMULA
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a(n) = a(0) + n*210 for 0 <= n <= 9. - M. F. Hasler, Jan 02 2020
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PROG
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(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
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CROSSREFS
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KEYWORD
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nonn,fini,full
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AUTHOR
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STATUS
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approved
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