What is the 4370th prime number?
The 4370th prime number is 41801. The next prime is 41809 (a gap of 8) and the one before is 41777.
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 4370th one is 41801.
- 2
41801 is prime because no prime up to ā41801 ā 204.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4370th prime is close to 4370 Ć ln(4370) ā 36632, and here it is 41801.
- 4
41801 has no twin: neither 41799 nor 41803 is prime.
Primes around the 4370th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4367 | 41761 | 2 |
| 4368 | 41771 | 10 |
| 4369 | 41777 | 6 |
| 4370 | 41801 | 24 |
| 4371 | 41809 | 8 |
| 4372 | 41813 | 4 |
| 4373 | 41843 | 30 |
Questions
What is the 4370th prime number?
41801.
Which prime number is 41801?
41801 is the 4370th prime number.
What is the sum of the first 4370 primes?
86,005,403.