What is the 436th prime number?
The 436th prime number is 3041. The next prime is 3049 (a gap of 8) and the one before is 3037.
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 436th one is 3041.
- 2
3041 is prime because no prime up to ā3041 ā 55.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 436th prime is close to 436 Ć ln(436) ā 2650, and here it is 3041.
- 4
3041 has no twin: neither 3039 nor 3043 is prime.
Primes around the 436th
| Position | Prime | Gap from the previous |
|---|---|---|
| 433 | 3019 | 8 |
| 434 | 3023 | 4 |
| 435 | 3037 | 14 |
| 436 | 3041 | 4 |
| 437 | 3049 | 8 |
| 438 | 3061 | 12 |
| 439 | 3067 | 6 |
Questions
What is the 436th prime number?
3041.
Which prime number is 3041?
3041 is the 436th prime number.
What is the sum of the first 436 primes?
611,955.