login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

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 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

COMMENTS

This sequence seems to generate lots of primes if you add 1 to each term:  2, 3, 5, 7, 11, 13, 17, 20, 23, 29, 33, 37, 45, 50, 53, 59, 66. - John F. Morack, Nov 14 2012

LINKS

Table of n, a(n) for n=2..19.

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

FORMULA

Let prime(n) be the sequence of primes, i.e. 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)) }

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: A127965 A117891 A178539 * A036634 A005942 A024907

Adjacent sequences:  A072749 A072750 A072751 * A072753 A072754 A072755

KEYWORD

hard,more,nonn

AUTHOR

Mario Ziller, Jul 10 2002

EXTENSIONS

2 more terms from Mario Ziller, May 30 2005

1 more term from John F. Morack, Nov 13 2012

1 more term from John F. Morack, Dec 11 2012

a(19) from Mario Ziller, Apr 08 2014

STATUS

approved

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

Content is available under The OEIS End-User License Agreement .

Last modified November 23 11:48 EST 2014. Contains 249842 sequences.