freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-188-the-hyperexponentiation-of-a-number.md

id	title	challengeType	forumTopicId	dashedName
5900f4291000cf542c50ff3b	Problem 188: The hyperexponentiation of a number	5	301824	problem-188-the-hyperexponentiation-of-a-number

--description--

The hyperexponentiation or tetration of a number a by a positive integer b, denoted by a↑↑b or {}^ba, is recursively defined by:

a↑↑1 = a,

a↑↑(k+1) = a^{(a↑↑k)}.

Thus we have e.g. 3↑↑2 = 3^3 = 27, hence 3↑↑3 = 3^{27} = 7625597484987 and 3↑↑4 is roughly {10}^{3.6383346400240996 \times {10}^{12}}. Find the last 8 digits of 1777↑↑1855.

--hints--

hyperexponentation() should return 95962097.

assert.strictEqual(hyperexponentation(), 95962097);

--seed--

--seed-contents--

function hyperexponentation() {

  return true;
}

hyperexponentation();

--solutions--

// solution required