What is the 4368th prime number?
The 4368th prime number is 41771. The next prime is 41777 (a gap of 6) and the one before is 41761.
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 4368th one is 41771.
- 2
41771 is prime because no prime up to ā41771 ā 204.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4368th prime is close to 4368 Ć ln(4368) ā 36613, and here it is 41771.
- 4
41771 has no twin: neither 41769 nor 41773 is prime.
Primes around the 4368th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4365 | 41737 | 8 |
| 4366 | 41759 | 22 |
| 4367 | 41761 | 2 |
| 4368 | 41771 | 10 |
| 4369 | 41777 | 6 |
| 4370 | 41801 | 24 |
| 4371 | 41809 | 8 |
Questions
What is the 4368th prime number?
41771.
Which prime number is 41771?
41771 is the 4368th prime number.
What is the sum of the first 4368 primes?
85,921,825.