What is the 7952nd prime number?
The 7952nd prime number is 81239. The next prime is 81281 (a gap of 42) and the one before is 81233.
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 7952nd one is 81239.
- 2
81239 is prime because no prime up to ā81239 ā 285.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7952nd prime is close to 7952 Ć ln(7952) ā 71418, and here it is 81239.
- 4
81239 has no twin: neither 81237 nor 81241 is prime.
Primes around the 7952nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7949 | 81203 | 4 |
| 7950 | 81223 | 20 |
| 7951 | 81233 | 10 |
| 7952 | 81239 | 6 |
| 7953 | 81281 | 42 |
| 7954 | 81283 | 2 |
| 7955 | 81293 | 10 |
Questions
What is the 7952nd prime number?
81239.
Which prime number is 81239?
81239 is the 7952nd prime number.
What is the sum of the first 7952 primes?
305,763,459.