What is the 4561st prime number?
The 4561st prime number is 43787. The next prime is 43789 (a gap of 2) and the one before is 43783.
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 4561st one is 43787.
- 2
43787 is prime because no prime up to ā43787 ā 209.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4561st prime is close to 4561 Ć ln(4561) ā 38428, and here it is 43787.
- 4
43787 is a twin prime: 43787 and 43789 are both prime.
Primes around the 4561st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4558 | 43777 | 18 |
| 4559 | 43781 | 4 |
| 4560 | 43783 | 2 |
| 4561 | 43787 | 4 |
| 4562 | 43789 | 2 |
| 4563 | 43793 | 4 |
| 4564 | 43801 | 8 |
Questions
What is the 4561st prime number?
43787.
Which prime number is 43787?
43787 is the 4561st prime number.
What is the sum of the first 4561 primes?
94,170,900.