What is the 4265th prime number?
The 4265th prime number is 40739. The next prime is 40751 (a gap of 12) and the one before is 40709.
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 4265th one is 40739.
- 2
40739 is prime because no prime up to ā40739 ā 201.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4265th prime is close to 4265 Ć ln(4265) ā 35648, and here it is 40739.
- 4
40739 has no twin: neither 40737 nor 40741 is prime.
Primes around the 4265th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4262 | 40697 | 4 |
| 4263 | 40699 | 2 |
| 4264 | 40709 | 10 |
| 4265 | 40739 | 30 |
| 4266 | 40751 | 12 |
| 4267 | 40759 | 8 |
| 4268 | 40763 | 4 |
Questions
What is the 4265th prime number?
40739.
Which prime number is 40739?
40739 is the 4265th prime number.
What is the sum of the first 4265 primes?
81,672,834.