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A217682 Record bases for first finding prime by concatenation of numbers decremented from terms of A217681. 1
2, 3, 8, 9, 10, 13, 14, 18, 21 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The partner sequence gives a monotone sequence of numbers that require increasing values of a base of arithmetic before any prime can be found by concatenating numbers decremented in sequence through 1. This sequence gives the record base required by each.

LINKS

Table of n, a(n) for n=1..9.

EXAMPLE

When numbers are concatenated in decreasing sequence in binary from each number 2-9 (10 to 1001 in binary), inevitably there is a prime in the sequence: 101 is prime in binary, as is 11101, etc. But this is not the case for 10 (binary 1010). The number represented as 1011002221201211 in base 3, the concatenation of the decimal values 10 down to 4, is a prime (16532797 in decimal).  So the record base is 3 for the 2nd entry here.

CROSSREFS

Cf. A217681.

Sequence in context: A277971 A080288 A278560 * A169868 A191159 A047360

Adjacent sequences:  A217679 A217680 A217681 * A217683 A217684 A217685

KEYWORD

nonn,base,less,more

AUTHOR

James G. Merickel, Oct 10 2012

EXTENSIONS

a(9) added by James G. Merickel, May 05 2013

STATUS

approved

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Last modified July 25 03:53 EDT 2021. Contains 346283 sequences. (Running on oeis4.)