What is the 7003rd prime number?
The 7003rd prime number is 70687. The next prime is 70709 (a gap of 22) and the one before is 70667.
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 7003rd one is 70687.
- 2
70687 is prime because no prime up to ā70687 ā 265.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7003rd prime is close to 7003 Ć ln(7003) ā 62005, and here it is 70687.
- 4
70687 has no twin: neither 70685 nor 70689 is prime.
Primes around the 7003rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7000 | 70657 | 18 |
| 7001 | 70663 | 6 |
| 7002 | 70667 | 4 |
| 7003 | 70687 | 20 |
| 7004 | 70709 | 22 |
| 7005 | 70717 | 8 |
| 7006 | 70729 | 12 |
Questions
What is the 7003rd prime number?
70687.
Which prime number is 70687?
70687 is the 7003rd prime number.
What is the sum of the first 7003 primes?
233,673,090.