What is the 8261st prime number?
The 8261st prime number is 84787. The next prime is 84793 (a gap of 6) and the one before is 84761.
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 8261st one is 84787.
- 2
84787 is prime because no prime up to ā84787 ā 291.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8261st prime is close to 8261 Ć ln(8261) ā 74508, and here it is 84787.
- 4
84787 has no twin: neither 84785 nor 84789 is prime.
Primes around the 8261st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8258 | 84737 | 6 |
| 8259 | 84751 | 14 |
| 8260 | 84761 | 10 |
| 8261 | 84787 | 26 |
| 8262 | 84793 | 6 |
| 8263 | 84809 | 16 |
| 8264 | 84811 | 2 |
Questions
What is the 8261st prime number?
84787.
Which prime number is 84787?
84787 is the 8261st prime number.
What is the sum of the first 8261 primes?
331,413,930.