What is the 7860th prime number?
The 7860th prime number is 80263. The next prime is 80273 (a gap of 10) and the one before is 80251.
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 7860th one is 80263.
- 2
80263 is prime because no prime up to ā80263 ā 283.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7860th prime is close to 7860 Ć ln(7860) ā 70501, and here it is 80263.
- 4
80263 has no twin: neither 80261 nor 80265 is prime.
Primes around the 7860th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7857 | 80233 | 2 |
| 7858 | 80239 | 6 |
| 7859 | 80251 | 12 |
| 7860 | 80263 | 12 |
| 7861 | 80273 | 10 |
| 7862 | 80279 | 6 |
| 7863 | 80287 | 8 |
Questions
What is the 7860th prime number?
80263.
Which prime number is 80263?
80263 is the 7860th prime number.
What is the sum of the first 7860 primes?
298,331,837.