What is the 4270th prime number?
The 4270th prime number is 40787. The next prime is 40801 (a gap of 14) and the one before is 40771.
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 4270th one is 40787.
- 2
40787 is prime because no prime up to ā40787 ā 201.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4270th prime is close to 4270 Ć ln(4270) ā 35695, and here it is 40787.
- 4
40787 has no twin: neither 40785 nor 40789 is prime.
Primes around the 4270th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4267 | 40759 | 8 |
| 4268 | 40763 | 4 |
| 4269 | 40771 | 8 |
| 4270 | 40787 | 16 |
| 4271 | 40801 | 14 |
| 4272 | 40813 | 12 |
| 4273 | 40819 | 6 |
Questions
What is the 4270th prime number?
40787.
Which prime number is 40787?
40787 is the 4270th prime number.
What is the sum of the first 4270 primes?
81,876,665.