A178553 -id:A178553

Search: a178553 -id:a178553

Displaying 1-4 of 4 results found.

page 1

A178550

Primes with exactly one digit 1.

+10
11

13, 17, 19, 31, 41, 61, 71, 103, 107, 109, 127, 137, 139, 149, 157, 163, 167, 173, 179, 193, 197, 199, 241, 251, 271, 281, 313, 317, 331, 401, 419, 421, 431, 461, 491, 521, 541, 571, 601, 613, 617, 619, 631, 641, 661, 691, 701, 719, 751, 761, 821, 881, 919

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

PROG

(Python)

from sympy import isprime

print([i for i in range(1000) if str(i).count('1') == 1 and isprime(i)]) # Daniel Starodubtsev, Mar 29 2020

CROSSREFS

Intersection of A043493 and A000040.

Cf. A038618, A178551, A178552, A178553, A178554, A178555, A178556, A178557, A178558.

KEYWORD

nonn,base

AUTHOR

Lekraj Beedassy, May 29 2010

STATUS

approved

A178551

Primes with exactly two 2's.

+10
5

223, 227, 229, 1223, 1229, 2027, 2029, 2129, 2203, 2207, 2213, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 2423, 2521, 2621, 2729, 2927, 3221, 3229, 4229, 5227, 6221, 6229, 7229, 8221, 9221, 9227, 10223, 12203, 12211, 12239

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

PROG

(Python)

from sympy import isprime

print([i for i in range(10000) if str(i).count('2') == 2 and isprime(i)]) # Daniel Starodubtsev, Mar 29 2020

CROSSREFS

Cf. A038618, A178550, A178552, A178553, A178554, A178555, A178556, A178557, A178558.

KEYWORD

nonn,base

AUTHOR

Lekraj Beedassy, May 29 2010

STATUS

approved

A178552

Primes with exactly three 3's.

+10
5

2333, 3313, 3323, 3331, 3343, 3373, 3433, 3533, 3733, 3833, 5333, 7333, 10333, 13033, 13313, 13331, 13337, 13339, 13633, 13933, 16333, 17333, 19333, 20333, 23339, 23633, 23833, 29333, 30133, 30313, 30323, 31033, 31337, 31393, 32233, 32303, 32323

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

CROSSREFS

Cf. A038618, A178550, A178551, A178553-A178558.

KEYWORD

nonn,base

AUTHOR

Lekraj Beedassy, May 29 2010

EXTENSIONS

Missing a(26) = 23633 and a(27) = 23833 inserted by Daniel Starodubtsev, Mar 14 2020

STATUS

approved

A178554

Primes with exactly five 5's.

+10
5

555557, 1555553, 2555551, 3555551, 3555557, 4555559, 5055551, 5055559, 5355551, 5505551, 5535559, 5550553, 5550557, 5554553, 5555057, 5555059, 5555357, 5555507, 5555509, 5555527, 5555567, 5555591, 5555653, 5556557, 5556559, 5557553

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

MATHEMATICA

Select[Prime[Range[PrimePi[55555], 1000000]], Count[IntegerDigits[#], 5]==5&] (* Harvey P. Dale, Dec 20 2010 *)

PROG

(PARI) isok(p) = isprime(p) && (#select(x->(x==5), digits(p)) == 5); \\ Michel Marcus, Mar 15 2020

CROSSREFS

Cf. A038618, A178550, A178551, A178552, A178553, A178555, A178556, A178557, A178558.

KEYWORD

nonn,base

AUTHOR

Lekraj Beedassy, May 29 2010

EXTENSIONS

Missing a(14) = 5554553 inserted by Daniel Starodubtsev, Mar 15 2020

STATUS

approved

page 1

Search completed in 0.007 seconds