The On-Line Encyclopedia of Integer Sequences (OEIS)

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A218557

Smallest prime >= n-th Lucas number.
(history; published version)

#6 by T. D. Noe at Fri Nov 02 17:11:57 EDT 2012

STATUS

proposed

approved

#5 by Michel Lagneau at Fri Nov 02 15:31:03 EDT 2012

STATUS

editing

proposed

#4 by Michel Lagneau at Fri Nov 02 15:30:44 EDT 2012

NAME

Next Smallest prime after >= n-th Lucas number.

DATA

2, 5, 2, 3, 5, 7, 11, 13, 19, 31, 53, 29, 47, 79, 127, 211, 199, 331, 523, 521, 853, 1367, 2213, 3581, 2207, 3571, 5779, 9371, 9349, 15131, 24481, 39607, 64081, 103687, 167771, 271451, 439217, 710663, 1149857, 1860503, 3010363, 3010349, 4870861, 7881221, 12752053, 20633279, 33385291, 54018533, 54018521, 87403831

OFFSET

1,0,1

EXAMPLE

a(46) = 11 19 because A000204(4) = 7 and 19 is the next smallest prime is 11not less than 18 (the 6th Lucas number).

MATHEMATICA

Table[Prime[1 + PrimePi[LucasL[n]]], {n, 1, 60}]

NextPrime/@(LucasL[Range[0, 50]]-1)

CROSSREFS

Cf. A000204, A138185.

STATUS

proposed

editing

#3 by Michel Lagneau at Fri Nov 02 13:38:50 EDT 2012

STATUS

editing

proposed

Discussion

Fri Nov 02

13:55

T. D. Noe: Why is this important? We could compute the next prime after any number.

14:27

T. D. Noe: The Fibonacci one is A138185. You might read that and adjust this one accordingly.

15:13

Michel Lagneau: OK

#2 by Michel Lagneau at Fri Nov 02 13:38:26 EDT 2012

NAME

allocated for Michel LagneauNext prime after n-th Lucas number.

DATA

2, 5, 5, 11, 13, 19, 31, 53, 79, 127, 211, 331, 523, 853, 1367, 2213, 3581, 5779, 9371, 15131, 24481, 39607, 64081, 103687, 167771, 271451, 439217, 710663, 1149857, 1860503, 3010363, 4870861, 7881221, 12752053, 20633279, 33385291, 54018533, 87403831

OFFSET

1,1

EXAMPLE

a(4) = 11 because A000204(4) = 7 and the next prime is 11.

MATHEMATICA

Table[Prime[1 + PrimePi[LucasL[n]]], {n, 1, 60}]

CROSSREFS

Cf. A000204.

KEYWORD

allocated

nonn

AUTHOR

Michel Lagneau, Nov 02 2012

STATUS

approved

editing

#1 by Michel Lagneau at Fri Nov 02 13:38:26 EDT 2012

NAME

allocated for Michel Lagneau

KEYWORD

allocated

STATUS

approved