What is the 7960th prime number?
The 7960th prime number is 81349. The next prime is 81353 (a gap of 4) and the one before is 81343.
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 7960th one is 81349.
- 2
81349 is prime because no prime up to ā81349 ā 285.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7960th prime is close to 7960 Ć ln(7960) ā 71498, and here it is 81349.
- 4
81349 has no twin: neither 81347 nor 81351 is prime.
Primes around the 7960th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7957 | 81307 | 8 |
| 7958 | 81331 | 24 |
| 7959 | 81343 | 12 |
| 7960 | 81349 | 6 |
| 7961 | 81353 | 4 |
| 7962 | 81359 | 6 |
| 7963 | 81371 | 12 |
Questions
What is the 7960th prime number?
81349.
Which prime number is 81349?
81349 is the 7960th prime number.
What is the sum of the first 7960 primes?
306,413,945.