What is the 6033rd prime number?
The 6033rd prime number is 59671. The next prime is 59693 (a gap of 22) and the one before is 59669.
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 6033rd one is 59671.
- 2
59671 is prime because no prime up to ā59671 ā 244.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6033rd prime is close to 6033 Ć ln(6033) ā 52517, and here it is 59671.
- 4
59671 is a twin prime: 59669 and 59671 are both prime.
Primes around the 6033rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6030 | 59659 | 8 |
| 6031 | 59663 | 4 |
| 6032 | 59669 | 6 |
| 6033 | 59671 | 2 |
| 6034 | 59693 | 22 |
| 6035 | 59699 | 6 |
| 6036 | 59707 | 8 |
Questions
What is the 6033rd prime number?
59671.
Which prime number is 59671?
59671 is the 6033rd prime number.
What is the sum of the first 6033 primes?
170,412,826.