login
A352338
Prime numbers of the form (i+1)*A352185(i) + A352186(i) for some i > 0.
1
7, 19, 29, 71, 103, 191, 577, 967, 1511, 3697, 4793, 7121, 9371, 13033, 17401, 24107, 37363, 134371, 165523, 220301, 307651, 503771, 735181, 1029349, 1119403, 1348387, 2148893, 4012709, 6188401, 7379387, 7928527, 8352037, 9819037, 10880687, 13261627, 19005359
OFFSET
1,1
COMMENTS
These prime numbers end the arithmetic progressions of composite numbers introduced in A352185-A352186.
The values for i are those where A352185(i) < A352185(i+1).
LINKS
Richard K. Guy, What are the smallest arithmetic progressions of composite numbers?, Amer. Math. Monthly, Vol. 93, No. 8 (1986), p. 627.
Rémy Sigrist, C++ program
EXAMPLE
For i = 33:
- A352185(33) = 139 < A352185(34) = 193,
- (33+1) * A352185(33) + A352186(33) = 34 * 139 + 67 = 4793,
- so 4793 belongs to this sequence.
PROG
(C++) See Links section.
CROSSREFS
Sequence in context: A117609 A122072 A261338 * A109355 A272404 A274971
KEYWORD
nonn
AUTHOR
Rémy Sigrist, Mar 13 2022
STATUS
approved