What is the 9061st prime number?
The 9061st prime number is 93913. The next prime is 93923 (a gap of 10) and the one before is 93911.
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 9061st one is 93913.
- 2
93913 is prime because no prime up to ā93913 ā 306.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9061st prime is close to 9061 Ć ln(9061) ā 82561, and here it is 93913.
- 4
93913 is a twin prime: 93911 and 93913 are both prime.
Primes around the 9061st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9058 | 93893 | 4 |
| 9059 | 93901 | 8 |
| 9060 | 93911 | 10 |
| 9061 | 93913 | 2 |
| 9062 | 93923 | 10 |
| 9063 | 93937 | 14 |
| 9064 | 93941 | 4 |
Questions
What is the 9061st prime number?
93913.
Which prime number is 93913?
93913 is the 9061st prime number.
What is the sum of the first 9061 primes?
402,924,942.