import sys import math def main(): input = sys.stdin.read().split() ptr = 0 P = int(input[ptr]) ptr +=1 Q = int(input[ptr]) ptr +=1 queries = [] for _ in range(Q): L = int(input[ptr]) ptr +=1 R = int(input[ptr]) ptr +=1 queries.append((L, R)) K = int(math.isqrt(P)) for L, R in queries: sum_total = 0 # 处理 d <= K 的情况 d_max = P // L if L != 0 else 0 for d in range(1, K +1): lower = (P // (d +1)) + 1 upper = P // d lower = max(L, lower) upper = min(R, upper) if lower > upper: continue count = upper - lower +1 sum_n = (lower + upper) * count // 2 sum_total += d * sum_n # 处理 n <= K 的情况,此时 d = P //n 可能大于 K n_start = max(L, 1) n_end = min(R, K) for n in range(n_start, n_end +1): d = P // n if d > K: sum_total += n * d # 计算最终结果 total_mod = P * (R - L +1) - sum_total print(total_mod) if __name__ == '__main__': main()