login
A046380
Palindromes with exactly 6 palindromic prime factors (counted with multiplicity).
1
2772, 6776, 25452, 59895, 88788, 549945, 1931391, 8117118, 8447448, 51033015, 52711725, 58344385, 103838301, 535707535, 620434026, 1663223661, 8262112628, 15271417251, 25227972252, 27747974772, 27974547972, 92628082629, 97079897079, 6421339331246, 8401825281048
OFFSET
1,1
LINKS
PROG
(Python)
from sympy import factorint
def palQgen10(l): # generator of palindromes in base 10 of length <= 2*l
if l > 0:
yield 0
for x in range(1, l+1):
for y in range(10**(x-1), 10**x):
s = str(y)
yield int(s+s[-2::-1])
for y in range(10**(x-1), 10**x):
s = str(y)
yield int(s+s[::-1])
A046380_list = []
for x in palQgen10(6):
a = factorint(x)
if sum(list(a.values())) == 6:
for p in a:
s = str(p)
if s != s[::-1]:
break
else:
A046380_list.append(x) # Chai Wah Wu, Dec 26 2014
CROSSREFS
Cf. A046332.
Sequence in context: A205418 A231709 A046332 * A249228 A154081 A387457
KEYWORD
nonn,base
AUTHOR
Patrick De Geest, Jun 15 1998
EXTENSIONS
a(19)-a(25) from Chai Wah Wu, Dec 26 2014
STATUS
approved