What is the 7941st prime number?
The 7941st prime number is 81119. The next prime is 81131 (a gap of 12) and the one before is 81101.
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 7941st one is 81119.
- 2
81119 is prime because no prime up to ā81119 ā 284.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7941st prime is close to 7941 Ć ln(7941) ā 71309, and here it is 81119.
- 4
81119 has no twin: neither 81117 nor 81121 is prime.
Primes around the 7941st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7938 | 81083 | 6 |
| 7939 | 81097 | 14 |
| 7940 | 81101 | 4 |
| 7941 | 81119 | 18 |
| 7942 | 81131 | 12 |
| 7943 | 81157 | 26 |
| 7944 | 81163 | 6 |
Questions
What is the 7941st prime number?
81119.
Which prime number is 81119?
81119 is the 7941st prime number.
What is the sum of the first 7941 primes?
304,870,360.