What is the 4550th prime number?
The 4550th prime number is 43661. The next prime is 43669 (a gap of 8) and the one before is 43651.
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 4550th one is 43661.
- 2
43661 is prime because no prime up to ā43661 ā 208.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4550th prime is close to 4550 Ć ln(4550) ā 38324, and here it is 43661.
- 4
43661 has no twin: neither 43659 nor 43663 is prime.
Primes around the 4550th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4547 | 43633 | 6 |
| 4548 | 43649 | 16 |
| 4549 | 43651 | 2 |
| 4550 | 43661 | 10 |
| 4551 | 43669 | 8 |
| 4552 | 43691 | 22 |
| 4553 | 43711 | 20 |
Questions
What is the 4550th prime number?
43661.
Which prime number is 43661?
43661 is the 4550th prime number.
What is the sum of the first 4550 primes?
93,689,751.