Monday

November 24, 2014

November 24, 2014

Posted by **Stranger** on Monday, March 18, 2013 at 5:16am.

1♡=1; n♡=((n−1)♡)⋅n+1

Find the largest n<1000 such that the last two digits of n♡ are zeroes.

Just to make it clear: unlike "n-factorial," "n-heart" is NOT an official mathematical terminology.

- Algebra -
**Steve**, Monday, March 18, 2013 at 10:50am919♡ = 19328918...75566100

but I haven't yet come up with a number-theoretic argument.

The values of n where n♡ ends in 00 are

19 107 119 207 219 307 319 407 419 507 519 607 619 707 719 807 819 907 919

It appears that there's a pattern there, no? More thought needed.

**Answer this Question**

**Related Questions**

ALGebra - We define n♡ recursively as follows. 1♡=1; n♡=((n&#...

math - In an ordered (A – K, ♠♢♣♡) 52 card deck, using ...

FACTORIAL PRODUCT(ALGEBRA) - Let N=1!⋅2!⋅3!⋅4!…9!⋅10!. ...

math - A sequence of polynomials gk(x) is defined recursively as follows. g0(x)=...

7th grade math - Which expression has the same value as −|−3|⋅...

math - For every prime p consider all polynomials f(x) with integer coefficients...

math/algebra - 1. Which of the following inequality signs would make a true ...

Physics - You are given vectors A = 5.0i - 6.5j and B = -2.5i + 7.0j. A third ...

math - For every positive integer n, consider all monic polynomials f(x) with ...

Math (algebra) - For every positive integer n, consider all monic polynomials f(...