What is the 4371st prime number?
The 4371st prime number is 41809. The next prime is 41813 (a gap of 4) and the one before is 41801.
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 4371st one is 41809.
- 2
41809 is prime because no prime up to ā41809 ā 204.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4371st prime is close to 4371 Ć ln(4371) ā 36641, and here it is 41809.
- 4
41809 has no twin: neither 41807 nor 41811 is prime.
Primes around the 4371st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4368 | 41771 | 10 |
| 4369 | 41777 | 6 |
| 4370 | 41801 | 24 |
| 4371 | 41809 | 8 |
| 4372 | 41813 | 4 |
| 4373 | 41843 | 30 |
| 4374 | 41849 | 6 |
Questions
What is the 4371st prime number?
41809.
Which prime number is 41809?
41809 is the 4371st prime number.
What is the sum of the first 4371 primes?
86,047,212.