This site is supported by donations to The OEIS Foundation.

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A072752 Maximum gap in one-stage prime-sieves. 3
 1, 2, 4, 6, 10, 12, 16, 19, 22, 28, 32, 36, 44, 49, 52, 58, 65, 75, 86, 94, 99, 107, 116, 128, 131, 140, 149, 155, 164, 176, 188, 193, 206, 215, 224, 237, 245, 254, 268, 274, 286, 299, 307, 320, 329, 342, 358, 370, 380, 398, 404, 416, 428 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,2 COMMENTS All values in this sequence can be directly calculated from A048670 by replacing each term T by (T-2)/2. Terms from a(37) to a(49) are from T. R. Hagedorn's article.John F. Morack, Jan 24 2016 LINKS Thomas R. Hagedorn, Computation of Jacobsthal's function h(n) for n < 50, Math. Comp. 78 (2009) 1073-1087. John F. Morack, Sequences from 1 to 65 John F. Morack, Exhaustive table of distributions of holes in sequences primes 3 to 31 over a range of consecutive numbers of length 65 to 79 [Title needs editing! - N. J. A. Sloane, Feb 28 2016] John F. Morack, A partial set of sequences of length 116 Mario Ziller, John F. Morack, Algorithmic concepts for the computation of Jacobsthal's function, arXiv:1611.03310 [math.NT], 2016. FORMULA Let {prime(n): n >= 1} denote the sequence of primes, e.g. prime(1)=2. For n>=2 we define a(n) = max { m IN N | EXIST c(k) IN N, k=2, .., n : FOR ALL i IN {1, .., m} EXISTS j IN {2, .., n} : i == c(j) (mod prime(j)) }. a(n) = (A048670(n) - 2)/2 = (A058989(n) - 1)/2. - Mario Ziller, Dec 08 2016 EXAMPLE a(5) = 6 because c(2)=2, c(3)=1, c(4)=4, c(5)=3 satisfy the requirements: 1 == 1 (mod 5), 2 == 2 (mod 3), 3 == 3 (mod 11), 4 == 4 (mod 7), 5 == 2 (mod 3), 6 == 1 (mod 5). CROSSREFS Cf. A072753. Sequence in context: A117891 A262935 A178539 * A036634 A005942 A024907 Adjacent sequences:  A072749 A072750 A072751 * A072753 A072754 A072755 KEYWORD hard,more,nonn,changed AUTHOR Mario Ziller, Jul 10 2002 EXTENSIONS a(15)-a(16) from Mario Ziller, May 30 2005 a(17) from John F. Morack, Nov 13 2012 a(18) from John F. Morack, Dec 11 2012 a(19) from Mario Ziller, Apr 08 2014 a(20)-a(21) from John F. Morack, Nov 21 2014 a(22) from John F. Morack, Dec 01 2014 a(23) from John F. Morack, Dec 05 2014 a(24) from John F. Morack, Dec 14 2014 a(25) from John F. Morack, Dec 30 2014 a(26)-a(36) from Mario Ziller  and John F. Morack, May 20 2015 a(37)-a(49) from John F. Morack, Jan 24 2016 a(46) corrected and a(50)-a(54) added by Mario Ziller, Dec 08 2016 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 8 18:55 EST 2016. Contains 278948 sequences.