What is the 7662nd prime number?
The 7662nd prime number is 77999. The next prime is 78007 (a gap of 8) and the one before is 77983.
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 7662nd one is 77999.
- 2
77999 is prime because no prime up to ā77999 ā 279.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7662nd prime is close to 7662 Ć ln(7662) ā 68529, and here it is 77999.
- 4
77999 has no twin: neither 77997 nor 78001 is prime.
Primes around the 7662nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7659 | 77969 | 18 |
| 7660 | 77977 | 8 |
| 7661 | 77983 | 6 |
| 7662 | 77999 | 16 |
| 7663 | 78007 | 8 |
| 7664 | 78017 | 10 |
| 7665 | 78031 | 14 |
Questions
What is the 7662nd prime number?
77999.
Which prime number is 77999?
77999 is the 7662nd prime number.
What is the sum of the first 7662 primes?
282,656,929.