What is the 7940th prime number?
The 7940th prime number is 81101. The next prime is 81119 (a gap of 18) and the one before is 81097.
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 7940th one is 81101.
- 2
81101 is prime because no prime up to ā81101 ā 284.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7940th prime is close to 7940 Ć ln(7940) ā 71299, and here it is 81101.
- 4
81101 has no twin: neither 81099 nor 81103 is prime.
Primes around the 7940th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7937 | 81077 | 6 |
| 7938 | 81083 | 6 |
| 7939 | 81097 | 14 |
| 7940 | 81101 | 4 |
| 7941 | 81119 | 18 |
| 7942 | 81131 | 12 |
| 7943 | 81157 | 26 |
Questions
What is the 7940th prime number?
81101.
Which prime number is 81101?
81101 is the 7940th prime number.
What is the sum of the first 7940 primes?
304,789,241.