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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A193869 Smallest product of n distinct primes of the form n*k+1. 5
2, 15, 1729, 32045, 60551711, 85276009, 52814801041129, 1312422595226609, 1130308388231798179, 4182230628909121261, 100166053986652515419641469, 1898732717895963155960377, 1011844196551535741726366525322443 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Also the row products of triangle A077316.

Note that a(3) = 1729 is known as the Hardy-Ramanujan number.

LINKS

Nathaniel Johnston, Table of n, a(n) for n = 1..100

EXAMPLE

a(1) = 2

a(2) = 3*5 = 15

a(3) = 7*13*19 = 1729

a(4) = 5*13*17*29 = 32045

a(5) = 11*31*41*61*71 = 60551711

a(6) = 7*13*19*31*37*43 = 85276009

MAPLE

Tj := proc(n, k) option remember: local j, p: if(k=0)then return 0:fi: for j from procname(n, k-1)+1 do if(isprime(n*j+1))then return j: fi: od: end: A193869 := proc(n) return mul(n*Tj(n, k)+1, k=1..n): end: seq(A193869(n), n=1..15); # Nathaniel Johnston, Sep 02 2011

CROSSREFS

Cf. A001235, A077316, A092609, A121940, A154729.

Sequence in context: A132317 A068409 A096232 * A064171 A135085 A290042

Adjacent sequences:  A193866 A193867 A193868 * A193870 A193871 A193872

KEYWORD

nonn

AUTHOR

Omar E. Pol, Sep 01 2011

EXTENSIONS

a(7) - a(14) from Nathaniel Johnston, Sep 02 2011

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 16 06:50 EST 2018. Contains 317258 sequences. (Running on oeis4.)