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A068695 Smallest number (not beginning with 0) that yields a prime when placed on the right of n. +0
4
1, 3, 1, 1, 3, 1, 1, 3, 7, 1, 3, 7, 1, 9, 1, 3, 3, 1, 1, 11, 1, 3, 3, 1, 1, 3, 1, 1, 3, 7, 1, 17, 1, 7, 3, 7, 3, 3, 7, 1, 9, 1, 1, 3, 7, 1, 9, 7, 1, 3, 13, 1, 23, 1, 7, 3, 1, 7, 3, 1, 3, 11, 1, 1, 3, 1, 3, 3, 1, 1, 9, 7, 3, 3, 1, 1, 3, 7, 7, 9, 1, 1, 9, 19, 3, 3, 7, 1, 23, 7, 1, 9, 7, 1, 3, 7, 1, 3, 1, 9, 3, 1 (list; graph; listen)
OFFSET

1,2

COMMENT

Many numbers become prime by appending a one-digit odd number. Some numbers (such as 20, 32, 51, etc.) require a 2-digit odd number (A032352 has these). In the first 100,000 values of n there are only 22 that require a 3-digit odd number (A091089). There probably are some values that require odd numbers of 4 or more digits, but these are likely to be very large. - Chuck Seggelin (barkeep(AT)plastereddragon.com), Dec 18 2003

LINKS

David W. Wilson, Table of n, a(n) for n=1..10000

EXAMPLE

a(20)=11 because 11 is the minimum odd number which when appended to 20 forms a prime (201, 203, 205, 207, 209 are all nonprime, 2011 is prime).

CROSSREFS

Cf. A032352 (a(n) requires at least a 2 digit odd number), A091089 (a(n) requires at least a 3 digit odd number).

Sequence in context: A060266 A073310 A046929 this_sequence A110787 A139002 A139378

Adjacent sequences: A068692 A068693 A068694 this_sequence A068696 A068697 A068698

KEYWORD

base,easy,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 03 2002

EXTENSIONS

More terms from Chuck Seggelin (barkeep(AT)plastereddragon.com), Dec 18 2003

Entry revised by N. J. A. Sloane (njas(AT)research.att.com), Feb 20 2006

More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Feb 14 2006

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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.


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