What is the 9677th prime number?
The 9677th prime number is 101051. The next prime is 101063 (a gap of 12) and the one before is 101027.
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 9677th one is 101051.
- 2
101051 is prime because no prime up to ā101051 ā 317.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9677th prime is close to 9677 Ć ln(9677) ā 88811, and here it is 101051.
- 4
101051 has no twin: neither 101049 nor 101053 is prime.
Primes around the 9677th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9674 | 101009 | 10 |
| 9675 | 101021 | 12 |
| 9676 | 101027 | 6 |
| 9677 | 101051 | 24 |
| 9678 | 101063 | 12 |
| 9679 | 101081 | 18 |
| 9680 | 101089 | 8 |
Questions
What is the 9677th prime number?
101051.
Which prime number is 101051?
101051 is the 9677th prime number.
What is the sum of the first 9677 primes?
462,941,446.