What is the 8260th prime number?
The 8260th prime number is 84761. The next prime is 84787 (a gap of 26) and the one before is 84751.
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 8260th one is 84761.
- 2
84761 is prime because no prime up to ā84761 ā 291.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8260th prime is close to 8260 Ć ln(8260) ā 74498, and here it is 84761.
- 4
84761 has no twin: neither 84759 nor 84763 is prime.
Primes around the 8260th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8257 | 84731 | 12 |
| 8258 | 84737 | 6 |
| 8259 | 84751 | 14 |
| 8260 | 84761 | 10 |
| 8261 | 84787 | 26 |
| 8262 | 84793 | 6 |
| 8263 | 84809 | 16 |
Questions
What is the 8260th prime number?
84761.
Which prime number is 84761?
84761 is the 8260th prime number.
What is the sum of the first 8260 primes?
331,329,143.