Contents • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • Mathematics [ ] • Seven, the fourth, is not only a (since 2 3 − 1 = 7) but also a since the exponent, 3, is itself a Mersenne prime. It is also a, a, a, a, a (happy prime), a (the only Mersenne safe prime), and the fourth. • Seven is the lowest natural number that cannot be represented as the sum of the squares of three integers.

(See.) • Seven is the of one number, the and is the base of the 7-aliquot tree. • 7 is the only number D for which the equation 2 n − D = x 2 has more than two solutions for n and x natural. In particular, the equation 2 n − 7 = x 2 is known as the. • 7 is the only dimension, besides the familiar 3, in which a vector can. • 7 is the lowest of a known, although there may exist as yet unknown exotic smooth structures on the 4-dimensional sphere.

• divided by 7 is exactly. Therefore, when a with 7 in the is converted to a expansion, the result has the same six- repeating sequence after the decimal point, but the sequence can start with any of those six digits. For example, 1/7 = 0.157. And 2/7 = 0.214. In fact, if one sorts the digits in the number 142,857 in ascending order, 124578, it is possible to know from which of the digits the decimal part of the number is going to begin with.

The remainder of dividing any number by 7 will give the position in the sequence 124578 that the decimal part of the resulting number will start. Download Free Madness Project Nexus Hacked Download. For example, 628 ÷ 7 = 89 5 / 7; here 5 is the remainder, and would correspond to number 7 in the ranking of the ascending sequence. So in this case, 628 ÷ 7 = 89.714285.

Another example, 5238 ÷ 7 = 748 2 / 7, hence the remainder is 2, and this corresponds to number 2 in the sequence. In this case, 5238 ÷ 7 = 748.285714. • A seven-sided shape is a.

The regular n-gons for n ≤ 6 can be constructed by alone, but the regular heptagon cannot. Representing heptagons (including seven) are called. Seven is also a.

• Seven is the first integer reciprocal () with infinitely repeating representation. • There are seven, the consisting of of the plane whose group of is to the group of. • There are seven fundamental types of.

Www.nationmaster.com/encyclopedia/Seven-Wonders-of-the-World#Ancient_Wonders Seven New Wonders of the World. Teachable Moments Number. The Seven Wonders of the Ancient World. While authorities disagree on the total number of. This is arguably the most beautiful of all Seven Ancient Wonders.

Graph of the probability distribution of the sum of 2 six-sided dice • When rolling two standard six-sided, seven has a 6 in (or 1 / 6) probability of being rolled (1–6, 6–1, 2–5, 5–2, 3–4, or 4–3), the greatest of any number. • The are seven problems in that were stated by the in 2000. Currently, six of the problems remain. • 7 is the last digit of Basic calculations [ ] 1 2 3 4 5 6 7 8 9 10 15 25 50 100 1000 7 × x 7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 ÷ x 7 3.5 2.