What is the 4276th prime number?
The 4276th prime number is 40841. The next prime is 40847 (a gap of 6) and the one before is 40829.
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 4276th one is 40841.
- 2
40841 is prime because no prime up to ā40841 ā 202.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4276th prime is close to 4276 Ć ln(4276) ā 35751, and here it is 40841.
- 4
40841 has no twin: neither 40839 nor 40843 is prime.
Primes around the 4276th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4273 | 40819 | 6 |
| 4274 | 40823 | 4 |
| 4275 | 40829 | 6 |
| 4276 | 40841 | 12 |
| 4277 | 40847 | 6 |
| 4278 | 40849 | 2 |
| 4279 | 40853 | 4 |
Questions
What is the 4276th prime number?
40841.
Which prime number is 40841?
40841 is the 4276th prime number.
What is the sum of the first 4276 primes?
82,121,591.