What is the 4361st prime number?
The 4361st prime number is 41681. The next prime is 41687 (a gap of 6) and the one before is 41669.
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 4361st one is 41681.
- 2
41681 is prime because no prime up to ā41681 ā 204.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4361st prime is close to 4361 Ć ln(4361) ā 36547, and here it is 41681.
- 4
41681 has no twin: neither 41679 nor 41683 is prime.
Primes around the 4361st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4358 | 41651 | 4 |
| 4359 | 41659 | 8 |
| 4360 | 41669 | 10 |
| 4361 | 41681 | 12 |
| 4362 | 41687 | 6 |
| 4363 | 41719 | 32 |
| 4364 | 41729 | 10 |
Questions
What is the 4361st prime number?
41681.
Which prime number is 41681?
41681 is the 4361st prime number.
What is the sum of the first 4361 primes?
85,629,662.