The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A335002

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Integers m such that omega(F(m)) = omega(L(m)) where omega is the number of distinct prime divisors function, F(n) and L(n) are the n-th Fibonacci and n-th Lucas numbers.
(history; published version)

#10 by OEIS Server at Fri Apr 26 05:58:06 EDT 2024

LINKS

Amiram Eldar, <a href="/A335002/b335002_1.txt">Table of n, a(n) for n = 1..134</a>

#9 by Peter Luschny at Fri Apr 26 05:58:06 EDT 2024

STATUS

reviewed

approved

Discussion

Fri Apr 26

05:58

OEIS Server: Installed first b-file as b335002.txt.

#8 by Joerg Arndt at Fri Apr 26 03:50:18 EDT 2024

STATUS

proposed

reviewed

#7 by Amiram Eldar at Fri Apr 26 02:41:54 EDT 2024

STATUS

editing

proposed

#6 by Amiram Eldar at Fri Apr 26 02:24:41 EDT 2024

LINKS

Amiram Eldar, <a href="/A335002/b335002_1.txt">Table of n, a(n) for n = 1..134</a>

STATUS

approved

editing

#5 by Susanna Cuyler at Tue May 19 19:17:42 EDT 2020

STATUS

proposed

approved

#4 by Michel Marcus at Tue May 19 09:39:26 EDT 2020

STATUS

editing

proposed

#3 by Michel Marcus at Tue May 19 07:32:45 EDT 2020

COMMENTS

Numbers m such that A022307(m) = A086598(m).

CROSSREFS

Cf. A001221, A000032, A000045, A022307, A086598, A335001.

Cf. A335001, A335003.

KEYWORD

nonn,more,changed

#2 by Michel Marcus at Tue May 19 06:23:33 EDT 2020

NAME

allocated for Michel MarcusIntegers m such that omega(F(m)) = omega(L(m)) where omega is the number of distinct prime divisors function, F(n) and L(n) are the n-th Fibonacci and n-th Lucas numbers.

DATA

1, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 17, 18, 21, 26, 33, 42, 46, 47, 55, 58, 66, 69, 73, 77, 85, 89, 93, 102, 103, 107, 111, 117, 121, 123, 132, 139, 167, 171, 177, 179, 181, 187, 201, 205, 207, 213, 219, 221, 233, 241, 246, 247, 253, 257, 262, 267, 269, 273, 279, 281, 282, 293, 295

OFFSET

1,2

LINKS

Prapanpong Pongsriiam, <a href="https://www.fq.math.ca/Papers1/57-5/pongsriiam.pdf">Fibonacci and Lucas Numbers which have Exactly Three Prime Factors and Some Unique Properties of F18 and L18</a>, Fibonacci Quart. 57 (2019), no. 5, 130-144.

PROG

(PARI) lucas(n) = fibonacci(n+1)+fibonacci(n-1);

isok(m) = omega(fibonacci(m))==omega(lucas(m));

CROSSREFS

Cf. A001221, A000032, A000045.

Cf. A335001, A335003.

KEYWORD

allocated

nonn,more

AUTHOR

Michel Marcus, May 19 2020

STATUS

approved

editing

#1 by Michel Marcus at Tue May 19 06:18:39 EDT 2020

NAME

allocated for Michel Marcus

KEYWORD

allocated

STATUS

approved