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Revision History for A157037 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Numbers with prime arithmetic derivative A003415.
(history; published version)
#48 by Joerg Arndt at Sat Mar 16 11:18:51 EDT 2024
STATUS

editing

approved

#47 by Paolo P. Lava at Sat Mar 16 08:19:51 EDT 2024
COMMENTS

Only about 5% of these numbers have n' > n. For example, for n up to 10^6 we have 72754 prime n', with 69420 such that n' < n and 3334 such that n' > n. - Paolo P. Lava, May 20 2013, corrected by M. F. Hasler, Apr 07 2015

STATUS

approved

editing

#46 by Michael De Vlieger at Thu Jun 23 12:03:38 EDT 2022
STATUS

reviewed

approved

#45 by Michel Marcus at Thu Jun 23 11:03:50 EDT 2022
STATUS

proposed

reviewed

#44 by Chai Wah Wu at Thu Jun 23 00:40:26 EDT 2022
STATUS

editing

proposed

#43 by Chai Wah Wu at Thu Jun 23 00:40:21 EDT 2022
PROG

return filter(lambda n:isprime(sum((n*e//p for p, e in factorint(n).items()))), , count(2))

STATUS

reviewed

editing

#42 by Michel Marcus at Thu Jun 23 00:37:20 EDT 2022
STATUS

proposed

reviewed

#41 by Chai Wah Wu at Thu Jun 23 00:28:06 EDT 2022
STATUS

editing

proposed

#40 by Chai Wah Wu at Thu Jun 23 00:28:01 EDT 2022
PROG

(Python)

from itertools import count, islice

from sympy import isprime, factorint

def A157037_gen(): # generator of terms

return filter(lambda n:isprime(sum((n*e//p for p, e in factorint(n).items()))), count(2))

A157037_list = list(islice(A157037_gen(), 20)) # Chai Wah Wu, Jun 23 2022

STATUS

approved

editing

#39 by OEIS Server at Sat Oct 19 10:47:48 EDT 2019
LINKS

Antti Karttunen, <a href="/A157037/b157037_1.txt">Table of n, a(n) for n = 1..10001</a> (first 1000 terms from Reinhard Zumkeller)