What is the 4362nd prime number?
The 4362nd prime number is 41687. The next prime is 41719 (a gap of 32) and the one before is 41681.
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 4362nd one is 41687.
- 2
41687 is prime because no prime up to ā41687 ā 204.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4362nd prime is close to 4362 Ć ln(4362) ā 36557, and here it is 41687.
- 4
41687 has no twin: neither 41685 nor 41689 is prime.
Primes around the 4362nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4359 | 41659 | 8 |
| 4360 | 41669 | 10 |
| 4361 | 41681 | 12 |
| 4362 | 41687 | 6 |
| 4363 | 41719 | 32 |
| 4364 | 41729 | 10 |
| 4365 | 41737 | 8 |
Questions
What is the 4362nd prime number?
41687.
Which prime number is 41687?
41687 is the 4362nd prime number.
What is the sum of the first 4362 primes?
85,671,349.