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A101398 Numbers n such that 4*10^n-3 is prime. 1
1, 2, 14, 20, 30, 44, 66, 260, 872, 8846, 26744, 57506, 98472, 106892 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See Kamada link for search limit and prime vs. PRP status.

a(14) > 10^5. - Robert Price, Mar 17 2015.

a(15) > 2*10^5. - Robert Price, Oct 02 2015

LINKS

Table of n, a(n) for n=1..14.

Makoto Kamada, Prime numbers of the form 399...997.

Index entries for primes involving repunits.

FORMULA

a(n) = A101849(n) + 1.

EXAMPLE

n = 1, 2, 14, 20 are members since 37, 397, 399999999999997 and 399999999999999999997

are prime numbers.

MATHEMATICA

Do[ If[ PrimeQ[4*10^n - 3], Print[n]], {n, 0, 10000}]

PROG

(PARI) for(n=1, 1e4, if(isprime(4*10^n-3), print1(n", "))) \\ Altug Alkan, Oct 02 2015

CROSSREFS

Cf. A089675, A101849.

Sequence in context: A298002 A217075 A187261 * A131221 A138047 A005237

Adjacent sequences:  A101395 A101396 A101397 * A101399 A101400 A101401

KEYWORD

nonn

AUTHOR

Julien Peter Benney (jpbenney(AT)ftml.net), Jan 15 2005

EXTENSIONS

a(11)-a(12) from Kamada data by Robert Price, Dec 13 2010

a(13) from Kamada data by Robert Price, Mar 17 2015

a(14) from Robert Price, Oct 02 2015

STATUS

approved

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Last modified September 22 03:58 EDT 2022. Contains 356887 sequences. (Running on oeis4.)