What is the 8259th prime number?
The 8259th prime number is 84751. The next prime is 84761 (a gap of 10) and the one before is 84737.
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 8259th one is 84751.
- 2
84751 is prime because no prime up to ā84751 ā 291.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8259th prime is close to 8259 Ć ln(8259) ā 74488, and here it is 84751.
- 4
84751 has no twin: neither 84749 nor 84753 is prime.
Primes around the 8259th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8256 | 84719 | 6 |
| 8257 | 84731 | 12 |
| 8258 | 84737 | 6 |
| 8259 | 84751 | 14 |
| 8260 | 84761 | 10 |
| 8261 | 84787 | 26 |
| 8262 | 84793 | 6 |
Questions
What is the 8259th prime number?
84751.
Which prime number is 84751?
84751 is the 8259th prime number.
What is the sum of the first 8259 primes?
331,244,382.