What is the 7663rd prime number?
The 7663rd prime number is 78007. The next prime is 78017 (a gap of 10) and the one before is 77999.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 7663rd one is 78007.
- 2
78007 is prime because no prime up to ā78007 ā 279.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7663rd prime is close to 7663 Ć ln(7663) ā 68539, and here it is 78007.
- 4
78007 has no twin: neither 78005 nor 78009 is prime.
Primes around the 7663rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7660 | 77977 | 8 |
| 7661 | 77983 | 6 |
| 7662 | 77999 | 16 |
| 7663 | 78007 | 8 |
| 7664 | 78017 | 10 |
| 7665 | 78031 | 14 |
| 7666 | 78041 | 10 |
Questions
What is the 7663rd prime number?
78007.
Which prime number is 78007?
78007 is the 7663rd prime number.
What is the sum of the first 7663 primes?
282,734,936.