[go: up one dir, main page]

login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
Revision History for A293457 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A293457 Primes that divide the numerator of the sum of the reciprocals of all smaller primes.
(history; published version)
#33 by Michael De Vlieger at Sun Feb 11 09:22:00 EST 2024
STATUS

proposed

approved

#32 by Antti Karttunen at Thu Feb 08 22:31:17 EST 2024
STATUS

editing

proposed

Discussion
Sat Feb 10 19:05
Antti Karttunen: So I did the change. Anybody caring to approve the change, or at least comment on it?
#31 by Antti Karttunen at Thu Feb 08 22:30:53 EST 2024
EXAMPLE

Since there are no primes less than 2, the sum of their reciprocals is 0/1, and as 2 divides 0, it is therefore included as the first term of this sequence. - Antti Karttunen, Feb 08 2024

STATUS

proposed

editing

#30 by Antti Karttunen at Thu Feb 08 16:54:40 EST 2024
STATUS

editing

proposed

#29 by Antti Karttunen at Thu Feb 08 16:52:43 EST 2024
PROG

(PARI) lista(nn) = my(s = 1/20); forprime(p=32, nn, if (!(numerator(s) % p), print1(p, ", ")); s += 1/p; ); \\ _; ); \\ _Michel Marcus_, Oct 09 2017, edited for the new, more inclusive definition by _Antti Karttunen_, Feb 08 2024

STATUS

proposed

editing

#28 by Antti Karttunen at Thu Feb 08 16:48:55 EST 2024
STATUS

editing

proposed

#27 by Antti Karttunen at Thu Feb 08 16:48:41 EST 2024
EXAMPLE

Since there are no primes less than 2, the sum of their reciprocals is 0, and as 2 divides 0, therefore it is therefore included as the first term of this sequence. - Antti Karttunen, Feb 08 2024

STATUS

proposed

editing

#26 by Antti Karttunen at Thu Feb 08 11:26:06 EST 2024
STATUS

editing

proposed

#25 by Antti Karttunen at Thu Feb 08 11:23:10 EST 2024
FORMULA

a(n) = A000040(1+A369972(1+n)). - Antti Karttunen, Feb 08 2024

#24 by Antti Karttunen at Thu Feb 08 11:22:15 EST 2024
NAME

Primes greater than 2 that divide the numerator of the sum of the reciprocals of all smaller primes.

DATA

2, 5, 19, 47, 79, 109, 3667387

COMMENTS

Odd primesPrimes p that divide A024451(A000720(p)-1). - Antti Karttunen, Feb 08 2024

EXAMPLE

Since there are no primes less than 2, the sum of their reciprocals is 0, and 2 divides 0, therefore it is included as the first term. - Antti Karttunen, Feb 08 2024

EXTENSIONS

Relaxed the definition to include 2 as the first term - Antti Karttunen, Feb 08 2024

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 30 17:27 EDT 2024. Contains 375545 sequences. (Running on oeis4.)