What is the 4335th prime number?
The 4335th prime number is 41443. The next prime is 41453 (a gap of 10) and the one before is 41413.
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 4335th one is 41443.
- 2
41443 is prime because no prime up to ā41443 ā 203.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4335th prime is close to 4335 Ć ln(4335) ā 36303, and here it is 41443.
- 4
41443 has no twin: neither 41441 nor 41445 is prime.
Primes around the 4335th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4332 | 41399 | 10 |
| 4333 | 41411 | 12 |
| 4334 | 41413 | 2 |
| 4335 | 41443 | 30 |
| 4336 | 41453 | 10 |
| 4337 | 41467 | 14 |
| 4338 | 41479 | 12 |
Questions
What is the 4335th prime number?
41443.
Which prime number is 41443?
41443 is the 4335th prime number.
What is the sum of the first 4335 primes?
84,548,676.