What is the 4261st prime number?
The 4261st prime number is 40693. The next prime is 40697 (a gap of 4) and the one before is 40639.
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 4261st one is 40693.
- 2
40693 is prime because no prime up to ā40693 ā 201.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4261st prime is close to 4261 Ć ln(4261) ā 35610, and here it is 40693.
- 4
40693 has no twin: neither 40691 nor 40695 is prime.
Primes around the 4261st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4258 | 40627 | 18 |
| 4259 | 40637 | 10 |
| 4260 | 40639 | 2 |
| 4261 | 40693 | 54 |
| 4262 | 40697 | 4 |
| 4263 | 40699 | 2 |
| 4264 | 40709 | 10 |
Questions
What is the 4261st prime number?
40693.
Which prime number is 40693?
40693 is the 4261st prime number.
What is the sum of the first 4261 primes?
81,509,990.