What is the 7942nd prime number?
The 7942nd prime number is 81131. The next prime is 81157 (a gap of 26) and the one before is 81119.
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 7942nd one is 81131.
- 2
81131 is prime because no prime up to ā81131 ā 284.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7942nd prime is close to 7942 Ć ln(7942) ā 71319, and here it is 81131.
- 4
81131 has no twin: neither 81129 nor 81133 is prime.
Primes around the 7942nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7939 | 81097 | 14 |
| 7940 | 81101 | 4 |
| 7941 | 81119 | 18 |
| 7942 | 81131 | 12 |
| 7943 | 81157 | 26 |
| 7944 | 81163 | 6 |
| 7945 | 81173 | 10 |
Questions
What is the 7942nd prime number?
81131.
Which prime number is 81131?
81131 is the 7942nd prime number.
What is the sum of the first 7942 primes?
304,951,491.