What is the 7661st prime number?
The 7661st prime number is 77983. The next prime is 77999 (a gap of 16) and the one before is 77977.
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 7661st one is 77983.
- 2
77983 is prime because no prime up to ā77983 ā 279.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7661st prime is close to 7661 Ć ln(7661) ā 68519, and here it is 77983.
- 4
77983 has no twin: neither 77981 nor 77985 is prime.
Primes around the 7661st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7658 | 77951 | 18 |
| 7659 | 77969 | 18 |
| 7660 | 77977 | 8 |
| 7661 | 77983 | 6 |
| 7662 | 77999 | 16 |
| 7663 | 78007 | 8 |
| 7664 | 78017 | 10 |
Questions
What is the 7661st prime number?
77983.
Which prime number is 77983?
77983 is the 7661st prime number.
What is the sum of the first 7661 primes?
282,578,930.