What is the 4271st prime number?
The 4271st prime number is 40801. The next prime is 40813 (a gap of 12) and the one before is 40787.
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 4271st one is 40801.
- 2
40801 is prime because no prime up to ā40801 ā 201.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4271st prime is close to 4271 Ć ln(4271) ā 35704, and here it is 40801.
- 4
40801 has no twin: neither 40799 nor 40803 is prime.
Primes around the 4271st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4268 | 40763 | 4 |
| 4269 | 40771 | 8 |
| 4270 | 40787 | 16 |
| 4271 | 40801 | 14 |
| 4272 | 40813 | 12 |
| 4273 | 40819 | 6 |
| 4274 | 40823 | 4 |
Questions
What is the 4271st prime number?
40801.
Which prime number is 40801?
40801 is the 4271st prime number.
What is the sum of the first 4271 primes?
81,917,466.