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A238257
Numbers n such that n and 2n+1 use only odd decimal digits.
1
1, 3, 5, 7, 9, 15, 17, 19, 35, 37, 39, 55, 57, 59, 75, 77, 79, 95, 97, 99, 155, 157, 159, 175, 177, 179, 195, 197, 199, 355, 357, 359, 375, 377, 379, 395, 397, 399, 555, 557, 559, 575, 577, 579, 595, 597, 599, 755, 757, 759, 775, 777, 779, 795, 797, 799, 955, 957, 959, 975, 977, 979, 995, 997, 999, 1555, 1557, 1559, 1575, 1577, 1579
OFFSET
1,2
COMMENTS
Sophie-Germain-analog for numbers with odd digits.
Also numbers with the first digit an odd digit and the other digits in {5, 7, 9}. - David A. Corneth, May 15 2018
LINKS
FORMULA
a(5(3^k-1)/2) = 10^k-1. - Giovanni Resta, Feb 22 2014
MATHEMATICA
Select[Range[1600], AllTrue[Join[IntegerDigits[#], IntegerDigits[ 2#+1]], OddQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, May 15 2018 *)
PROG
(PARI) is(n)=#setminus(setunion(Set(digits(n)), Set(digits(2*n+1))), [1, 3, 5, 7, 9])==0 \\ Charles R Greathouse IV, May 15 2018
CROSSREFS
KEYWORD
nonn,base,easy
AUTHOR
Zak Seidov, Feb 21 2014
STATUS
approved