What is the 4254th prime number?
The 4254th prime number is 40583. The next prime is 40591 (a gap of 8) and the one before is 40577.
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 4254th one is 40583.
- 2
40583 is prime because no prime up to ā40583 ā 201.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4254th prime is close to 4254 Ć ln(4254) ā 35545, and here it is 40583.
- 4
40583 has no twin: neither 40581 nor 40585 is prime.
Primes around the 4254th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4251 | 40543 | 12 |
| 4252 | 40559 | 16 |
| 4253 | 40577 | 18 |
| 4254 | 40583 | 6 |
| 4255 | 40591 | 8 |
| 4256 | 40597 | 6 |
| 4257 | 40609 | 12 |
Questions
What is the 4254th prime number?
40583.
Which prime number is 40583?
40583 is the 4254th prime number.
What is the sum of the first 4254 primes?
81,225,597.