cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-5 of 5 results.

A100498 Smallest square that is equal to the sum of n distinct primes plus 1.

Original entry on oeis.org

1, 4, 9, 16, 36, 49, 64, 81, 100, 121, 144, 169, 256, 289, 324, 361, 400, 441, 576, 625, 676, 729, 900, 961, 1024, 1089, 1296, 1369, 1444, 1521, 1764, 1849, 1936, 2025, 2304, 2401, 2500, 2601, 2916, 3025, 3136, 3481, 3600, 3721, 3844, 4225, 4356, 4489
Offset: 0

Views

Author

Giovanni Teofilatto, Dec 31 2004

Keywords

Examples

			a(1)=4 because 2^2=1+3;
a(2)=9 because 3^2=1+3+5;
a(3)=16 because 4^2=1+3+5+7.

Crossrefs

Cf. A100555, A101771-A101775.

Extensions

Extended by Ray Chandler, Jan 10 2005

A101771 Smallest k such that k^2 is equal to the sum of n distinct primes plus 1.

Original entry on oeis.org

1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 16, 17, 18, 19, 20, 21, 24, 25, 26, 27, 30, 31, 32, 33, 36, 37, 38, 39, 42, 43, 44, 45, 48, 49, 50, 51, 54, 55, 56, 59, 60, 61, 62, 65, 66, 67, 70, 71, 72, 75, 76, 77, 80, 81, 82, 83, 86, 87, 88, 91, 92, 93, 96, 97, 98, 101, 102, 103, 106
Offset: 0

Views

Author

Ray Chandler, Jan 10 2005

Keywords

Crossrefs

Cf. A100498, A101772-A101775.

Formula

a(n) = Sqrt(A100498(n)).

A101772 Triangle read by rows where n-th row is the lexicographically least set of n distinct primes summing to A100498(n)-1.

Original entry on oeis.org

3, 3, 5, 3, 5, 7, 2, 3, 7, 23, 2, 3, 5, 7, 31, 2, 3, 5, 11, 13, 29, 2, 3, 5, 11, 13, 17, 29, 2, 3, 5, 7, 11, 13, 17, 41, 2, 3, 5, 7, 11, 13, 17, 19, 43, 2, 3, 5, 7, 11, 13, 17, 19, 23, 43, 2, 3, 5, 7, 11, 13, 17, 19, 23, 31, 37, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 37, 89, 2, 3, 5, 7, 11
Offset: 1

Views

Author

Ray Chandler, Jan 10 2005

Keywords

Examples

			Triangle begins:
{3}
{3,5}
{3,5,7}
{2,3,7,23}
{2,3,5,7,31}
{2,3,5,11,13,29}
{2,3,5,11,13,17,29}
{2,3,5,7,11,13,17,41}
{2,3,5,7,11,13,17,19,43}
{2,3,5,7,11,13,17,19,23,43}
{2,3,5,7,11,13,17,19,23,31,37}
{2,3,5,7,11,13,17,19,23,29,37,89}
{2,3,5,7,11,13,17,19,23,29,31,61,67}
{2,3,5,7,11,13,17,19,23,29,31,37,43,83}
{2,3,5,7,11,13,17,19,23,29,31,37,41,43,79}

Crossrefs

Cf. A100498, A101771-A101775.

A101774 Positive integers not in A101771.

Original entry on oeis.org

5, 14, 15, 22, 23, 28, 29, 34, 35, 40, 41, 46, 47, 52, 53, 57, 58, 63, 64, 68, 69, 73, 74, 78, 79, 84, 85, 89, 90, 94, 95, 99, 100, 104, 105, 109, 110, 114, 115, 119, 120, 124, 125, 128, 129, 133, 134, 138, 139, 143, 144, 148, 149, 153, 154, 157, 158, 162, 163
Offset: 1

Views

Author

Ray Chandler, Jan 10 2005

Keywords

Comments

Complement of A101771.

Crossrefs

Cf. A100498, A101771-A101775.

Formula

a(n) = Sqrt(A101775(n)).

A101773 Last term in each row of triangle referenced in A101772.

Original entry on oeis.org

3, 5, 7, 23, 31, 29, 29, 41, 43, 43, 37, 89, 67, 83, 79, 71, 59, 127, 113, 107, 89, 181, 151, 149, 113, 229, 199, 179, 149, 283, 241, 211, 173, 313, 263, 223, 173, 331, 277, 197, 373, 331, 263, 199, 389, 313, 233, 461, 379, 293, 503, 419, 337, 569, 479, 379
Offset: 1

Views

Author

Ray Chandler, Jan 10 2005

Keywords

Crossrefs

Cf. A100498, A101771-A101775.

Formula

a(n) = A101772(A000217(n)).
Showing 1-5 of 5 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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