What is the 4277th prime number?
The 4277th prime number is 40847. The next prime is 40849 (a gap of 2) and the one before is 40841.
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 4277th one is 40847.
- 2
40847 is prime because no prime up to ā40847 ā 202.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4277th prime is close to 4277 Ć ln(4277) ā 35760, and here it is 40847.
- 4
40847 is a twin prime: 40847 and 40849 are both prime.
Primes around the 4277th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4274 | 40823 | 4 |
| 4275 | 40829 | 6 |
| 4276 | 40841 | 12 |
| 4277 | 40847 | 6 |
| 4278 | 40849 | 2 |
| 4279 | 40853 | 4 |
| 4280 | 40867 | 14 |
Questions
What is the 4277th prime number?
40847.
Which prime number is 40847?
40847 is the 4277th prime number.
What is the sum of the first 4277 primes?
82,162,438.