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A161177 Index of first multiple of n-th prime in A005179. 0
2, 4, 12, 32, 96, 240, 640, 1280, 2560, 9600, 19200, 57344, 114688, 229376, 458752, 1290240, 3145728, 6291456, 13762560, 27525120, 62914560, 134217728, 335544320, 671088640, 1342177280, 2684354560, 5368709120, 10737418240, 26306674688, 52613349376 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The numbers are divisible by higher and higher powers of 2 because the numbers in A005179 typically have a "tail" of primes occurring in first power only.
From David A. Corneth, May 01 2024: (Start)
A001222(a(n)) >= n.
What is the smallest term divisible by 11? (End)
LINKS
FORMULA
a(n) >= 2*a(n-1) for n >= 2. - David A. Corneth, May 01 2024
EXAMPLE
a(3)=12: The third prime is 5 and A005179(12)=60 is the first multiple of 5 occurring in sequence A005179.
PROG
(PARI) a(n) = my(p=prime(n), k=1); while (A005179(k) % p, k++); k; \\ Michel Marcus, Apr 20 2024
CROSSREFS
Sequence in context: A025178 A231295 A087211 * A039721 A148193 A341344
KEYWORD
nonn,hard,more
AUTHOR
Hagen von Eitzen, Jun 05 2009
EXTENSIONS
a(13)-a(15) from Michel Marcus, Apr 20 2024
a(16) from Michel Marcus, May 01 2024
a(17)-a(30) from David A. Corneth, May 01 2024
STATUS
approved

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Last modified June 17 00:51 EDT 2024. Contains 373432 sequences. (Running on oeis4.)