A124262 -id:A124262 - cp's OEIS frontend

A124475 a(n) = 10*A124262(n) - A124262(n+1).

1, 9, 9, 12, 41, 3, 37, 21, 23, 3, 3, 1, 39, 3, 39, 41, 43, 81, 3, 3, 47, 31, 101, 43, 39, 33, 149, 43, 23, 9, 1, 131, 103, 41, 7, 123, 21, 147, 9, 417, 29, 277, 11, 117, 337, 51, 71, 93, 21, 187, 81, 69, 111, 59, 217, 183, 179, 403, 249, 33, 29, 153, 231, 141, 7, 117, 93, 329, 223, 393

Offset: 1

Artur Jasinski, Dec 17 2006

nonn

Cf. A124262.

A126041 Decimal expansion of lim_{n->infinity} A124262(n)/10^(n-1).

Original entry on oeis.org

1, 7, 9, 8, 4, 8, 3, 0, 6, 6, 6, 6, 5, 0, 2, 6, 3, 8, 8, 6, 1, 8, 8, 4, 2, 6, 1, 6, 4, 5, 9, 4, 8, 2, 7, 0, 3, 3, 7, 8, 7, 3, 0, 3, 8, 7, 0, 9, 2, 9, 4, 0, 9, 0, 7, 2, 4, 8, 1, 7, 2, 3, 2, 4, 7, 0, 0, 1, 4, 4, 6, 6, 5, 7, 8, 8, 0, 1, 2, 2, 3, 0, 1, 6, 6, 4, 3, 6, 2, 8, 5, 9, 9, 8, 1, 8, 6, 5

Offset: 1

Artur Jasinski, Dec 16 2006

			1.7984830666650263886188426...

Cf. A124262.

A126031 a(n) is the largest prime < 3*a(n-1) for n > 1, with a(1) = 2.

Original entry on oeis.org

2, 5, 13, 37, 109, 317, 947, 2837, 8501, 25471, 76403, 229199, 687593, 2062759, 6188263, 18564769, 55694299, 167082893, 501248653, 1503745949, 4511237741, 13533713213, 40601139629, 121803418861, 365410256543, 1096230769619, 3288692308841, 9866076926507, 29598230779511

Offset: 1

Artur Jasinski, Dec 16 2006

nonn

Artur Jasinski, Table of n, a(n) for n = 1..40

Similar sequences for a(n) = largest prime < m*a(n-1): A006992 (m=2), this sequence (3), A124190 (4), A126033 (5), A126034 (6), A126035 (7), A126036 (8), A126037 (9), A124262 (10), A126039 (11), A126040 (12), A124339 (100), A124361 (1000), A124364 (10000), A124362 (100000), A124368 (1000000).

NestList[NextPrime[3#,-1]&,2,30] (* Harvey P. Dale, Feb 03 2012 *)

A124310 Largest prime < 10*a(n-1), a(1)=29.

Original entry on oeis.org

29, 283, 2819, 28183, 281807, 2818043, 28180393, 281803927, 2818039241, 28180392407, 281803924067, 2818039240619, 28180392406171, 281803924061641, 2818039240616359, 28180392406163579, 281803924061635783, 2818039240616357827, 28180392406163578069, 281803924061635780589

Offset: 1

Artur Jasinski, Dec 16 2006, corrected Jan 25 2007

nonn

Practically the same as A124263. - R. J. Mathar, Jun 18 2008

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Cf. A124262, A124263.

NestList[NextPrime[10#,-1]&,29,20] (* Harvey P. Dale, Aug 19 2011 *)

A124263 Largest prime < 10*a(n-1), a(1)=3.

Original entry on oeis.org

3, 29, 283, 2819, 28183, 281807, 2818043, 28180393, 281803927, 2818039241, 28180392407, 281803924067, 2818039240619, 28180392406171, 281803924061641, 2818039240616359, 28180392406163579, 281803924061635783, 2818039240616357827, 28180392406163578069, 281803924061635780589

Offset: 1

Artur Jasinski, Dec 16 2006

nonn

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Cf. A124262.

NestList[NextPrime[10#,-1]&,3,20] (* Harvey P. Dale, Jun 10 2011 *)

A124339 Largest prime < 100*a(n-1), a(1)=2.

Original entry on oeis.org

2, 199, 19891, 1989077, 198907679, 19890767893, 1989076789283, 198907678928279, 19890767892827873, 1989076789282787297, 198907678928278729697, 19890767892827872969661, 1989076789282787296966091, 198907678928278729696609039, 19890767892827872969660903813

Offset: 1

Artur Jasinski, Dec 16 2006

nonn

Cf. A124262, A124357, A124358.

NestList[NextPrime[100#,-1]&,2,15] (* Harvey P. Dale, Jul 06 2013 *)

More terms from Harvey P. Dale, Jul 06 2013

A124361 Largest prime < 1000*a(n-1), a(1)=2.

Original entry on oeis.org

2, 1999, 1998991, 1998990991, 1998990990979, 1998990990978973, 1998990990978972953, 1998990990978972952981, 1998990990978972952980973, 1998990990978972952980972937, 1998990990978972952980972936953, 1998990990978972952980972936952943, 1998990990978972952980972936952942969

Offset: 1

Artur Jasinski, Dec 16 2006

nonn

Cf. A124262, A126031.

NestList[NextPrime[1000#,-1]&,2,11]  (* Harvey P. Dale, Feb 07 2011 *)

a(12)-a(13) from Pontus von Brömssen, Jan 15 2025

A124362 Largest prime < 100000*a(n-1), a(1)=2.

Original entry on oeis.org

2, 199999, 19999899919, 1999989991899967, 199998999189996699997, 19999899918999669999699797, 1999989991899966999969979699969, 199998999189996699996997969996899977, 19999899918999669999699796999689997699987, 1999989991899966999969979699968999769998699901

Offset: 1

Artur Jasinski, Dec 16 2006

nonn

Cf. A124262, A126031.

a(9)-a(10) from Pontus von Brömssen, Jan 15 2025

A124364 Largest prime < 10000*a(n-1), a(1)=2.

Original entry on oeis.org

2, 19997, 199969967, 1999699669993, 19996996699929961, 199969966999299609907, 1999699669992996099069973, 19996996699929960990699729941, 199969966999299609906997299409939, 1999699669992996099069972994099389959, 19996996699929960990699729940993899589873

Offset: 1

Artur Jasinski, Dec 16 2006

nonn

Cf. A124262, A126031.

NestList[NextPrime[10000#,-1]&,2,10] (* Harvey P. Dale, Nov 07 2020 *)

a(10)-a(11) from Pontus von Brömssen, Jan 15 2025

A124267 Largest prime < 10*a(n-1), a(1)=5.

Original entry on oeis.org

5, 47, 467, 4663, 46619, 466183, 4661819, 46618183, 466181801, 4661818009, 46618180033, 466181800327, 4661818003217, 46618180032161, 466181800321609, 4661818003216081, 46618180032160669, 466181800321606627, 4661818003216066183, 46618180032160661801, 466181800321606617917

Offset: 1

Artur Jasinski, Dec 16 2006

nonn

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Cf. A124262.

NestList[NextPrime[10 #, - 1]&, 5, 30] (* Vincenzo Librandi, Jun 28 2014 *)

cp's OEIS Frontend

A124475 a(n) = 10*A124262(n) - A124262(n+1).

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A126041 Decimal expansion of lim_{n->infinity} A124262(n)/10^(n-1).

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A126031 a(n) is the largest prime < 3*a(n-1) for n > 1, with a(1) = 2.

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A124310 Largest prime < 10*a(n-1), a(1)=29.

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A124263 Largest prime < 10*a(n-1), a(1)=3.

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A124339 Largest prime < 100*a(n-1), a(1)=2.

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A124361 Largest prime < 1000*a(n-1), a(1)=2.

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Mathematica

Extensions

A124362 Largest prime < 100000*a(n-1), a(1)=2.

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Extensions

A124364 Largest prime < 10000*a(n-1), a(1)=2.

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Mathematica

Extensions

A124267 Largest prime < 10*a(n-1), a(1)=5.

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