The above sequence represents few happy numbers.

A happy number is defined by the following process. Starting with any positive integer, replace the number by the sum of the squares of its digits, and repeat the process until the number equals 1 (where it will stay), or it loops endlessly in a cycle which does not include 1. Those numbers for which this process ends in 1 are happy numbers, while those that do not end in 1 are unhappy numbers. A computer search up to 1020 suggests that about 12% of numbers are happy, though no proof is known (Guy 2004:§E34).

A happy prime is a happy number that is prime. The first few happy primes are

7, 13, 19, 23, 31, 79, 97, 103, 109, 139, 167, 193, 239, 263, 293, 313, 331, 367, 379, 383, 397, 409, 487 (sequence A035497 in OEIS)

Now I have confusion further what you looking for. as dashes between numbers of your question has created confusion.

If you can analyse from above sequence then I hope I tried my best.

Sixth number is 397 :D
After your correction

Sequence of 4, 3, 2, 1
Between numbers

You have to look at the distance between each happy number and keep subtracting it by 1 each time.

One interesting thing about prime numbers is that they never have zeros in them, I read somewhere that some people believe zeros determine the density of a number.

In Book IX of the Elements, Euclid proves that there are infinitely many prime numbers. This is one of the first proofs known which uses the method of contradiction to establish a result. Euclid also gives a proof of the Fundamental Theorem of Arithmetic: Every integer can be written as a product of primes in an essentially unique way.

The statement that the density of primes is 1/log(n) is known as the Prime Number Theorem. Attempts to prove it continued throughout the 19th Century with notable progress being made by Chebyshev and Riemann who was able to relate the problem to something called the Riemann Hypothesis: a still unproved result about the zeros in the Complex plane of something called the Riemann zeta-function. The result was eventually proved (using powerful methods in Complex analysis) by Hadamard and de la Vallée Poussin in 1896.

Riemann's ideas concerning geometry of space had a profound effect on the development of modern theoretical physics. He clarified the notion of integral by defining what we now call the Riemann integral.

Many numbers occur in nature, and inevitably some of these are prime. There are, however, relatively few examples of numbers that appear in nature because they are prime. For example, most starfish have 5 arms, and 5 is a prime number. However there is no evidence to suggest that starfish have 5 arms because 5 is a prime number. Indeed, some starfish have different numbers of arms. Echinaster luzonicus normally has six arms, Luidia senegalensis has nine arms, and Solaster endeca can have as many as twenty arms. Why the majority of starfish (and most other echinoderms) have five-fold symmetry remains a mystery.

One example of the use of prime numbers in nature is as an evolutionary strategy used by cicadas of the genus Magicicada.[18] These insects spend most of their lives as grubs underground. They only pupate and then emerge from their burrows after 13 or 17 years, at which point they fly about, breed, and then die after a few weeks at most. The logic for this is believed to be that the prime number intervals between emergences makes it very difficult for predators to evolve that could specialise as predators on Magicicadas.[19] If Magicicadas appeared at a non-prime number intervals, say every 12 years, then predators appearing every 2, 3, 4, 6, or 12 years would be sure to meet them. Over a 200-year period, average predator populations during hypothetical outbreaks of 14- and 15-year cicadas would be up to 2% higher than during outbreaks of 13- and 17-year cicadas.[20] Though small, this advantage appears to have been enough to drive natural selection in favour of a prime-numbered life-cycle for these insects.

http://en.wikipedia.org/wiki/Prime_numbe...

Happiness is infinite, never ending...always stick with the prime factors of life :D

You actually provided what you are looking for which is 397.
The numbers in the sequence are not just happy numbers but happy prime numbers.
There are 4 happy prime numbers btw 79 and 167,
3 happy prime numbers btw 167 and 293
2 happy prime numbers btw 293 and 367
1 happy prime number btw 367 and 383
Following the trend no nummber btw 383 and 397

interesting question really.... the answer is 397. Since it is a happy prime number and the happy prime numbers btwn 79-167 are 4 and when one follows the trend it keeps on decreasing by one so 3...2....1....0 meaning the number immediately after 383 which is 397.......

397 friendship

happy frienships never end
happy friends
prime happy friends

I find this to be interesting though I didn't put to much effort outside of thinking into it sadly.

Using the resources provided on this page I was able to get this out of your message.

Like everyone said the last number is 397 running in a sequence that degrades by 1 each time (though I did mine in different count). Since these are happy prime numbers I'll take Happy from that.

I came up with the answer two different things. Happiness does not add up the same for all of us. or things can go up and down but in the end you can still be happy.

Though I could say that you can never divide ones happiness as well.