What is the 7660th prime number?
The 7660th prime number is 77977. The next prime is 77983 (a gap of 6) and the one before is 77969.
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 7660th one is 77977.
- 2
77977 is prime because no prime up to ā77977 ā 279.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7660th prime is close to 7660 Ć ln(7660) ā 68509, and here it is 77977.
- 4
77977 has no twin: neither 77975 nor 77979 is prime.
Primes around the 7660th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7657 | 77933 | 4 |
| 7658 | 77951 | 18 |
| 7659 | 77969 | 18 |
| 7660 | 77977 | 8 |
| 7661 | 77983 | 6 |
| 7662 | 77999 | 16 |
| 7663 | 78007 | 8 |
Questions
What is the 7660th prime number?
77977.
Which prime number is 77977?
77977 is the 7660th prime number.
What is the sum of the first 7660 primes?
282,500,947.