What is the 3562nd prime number?
The 3562nd prime number is 33247. The next prime is 33287 (a gap of 40) and the one before is 33223.
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 3562nd one is 33247.
- 2
33247 is prime because no prime up to ā33247 ā 182.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3562nd prime is close to 3562 Ć ln(3562) ā 29130, and here it is 33247.
- 4
33247 has no twin: neither 33245 nor 33249 is prime.
Primes around the 3562nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3559 | 33203 | 4 |
| 3560 | 33211 | 8 |
| 3561 | 33223 | 12 |
| 3562 | 33247 | 24 |
| 3563 | 33287 | 40 |
| 3564 | 33289 | 2 |
| 3565 | 33301 | 12 |
Questions
What is the 3562nd prime number?
33247.
Which prime number is 33247?
33247 is the 3562nd prime number.
What is the sum of the first 3562 primes?
55,706,753.